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10040250420 = 223251011673307
BaseRepresentation
bin10010101100111001…
…00001000000110100
3221220201111120022200
421112130201000310
5131030301003140
64340141224500
7503543502054
oct112634410064
927821446280
1010040250420
114292506822
121b42562130
13c40140ca5
146b363d564
153db6ae030
hex256721034

10040250420 has 144 divisors (see below), whose sum is σ = 30950494848. Its totient is φ = 2634220800.

The previous prime is 10040250397. The next prime is 10040250463. The reversal of 10040250420 is 2405204001.

10040250420 is a `hidden beast` number, since 100 + 40 + 2 + 504 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10040250393 and 10040250402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3034407 + ... + 3037713.

It is an arithmetic number, because the mean of its divisors is an integer number (214933992).

Almost surely, 210040250420 is an apocalyptic number.

10040250420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10040250420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15475247424).

10040250420 is an abundant number, since it is smaller than the sum of its proper divisors (20910244428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10040250420 is a wasteful number, since it uses less digits than its factorization.

10040250420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 10040250420 its reverse (2405204001), we get a palindrome (12445454421).

The spelling of 10040250420 in words is "ten billion, forty million, two hundred fifty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 167 180 202 303 334 404 501 505 606 668 835 909 1002 1010 1212 1503 1515 1670 1818 2004 2020 2505 3006 3030 3307 3340 3636 4545 5010 6012 6060 6614 7515 9090 9921 10020 13228 15030 16535 16867 18180 19842 29763 30060 33070 33734 39684 49605 50601 59526 66140 67468 84335 99210 101202 119052 148815 151803 168670 198420 202404 253005 297630 303606 334007 337340 506010 552269 595260 607212 668014 759015 1002021 1012020 1104538 1336028 1518030 1656807 1670035 2004042 2209076 2761345 3006063 3036060 3313614 3340070 4008084 4970421 5010105 5522690 6012126 6627228 6680140 8284035 9940842 10020210 11045380 12024252 15030315 16568070 19881684 20040420 24852105 30060630 33136140 49704210 55779169 60121260 99408420 111558338 167337507 223116676 278895845 334675014 502012521 557791690 669350028 836687535 1004025042 1115583380 1673375070 2008050084 2510062605 3346750140 5020125210 10040250420