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240020024420 = 225117314945207
BaseRepresentation
bin1101111110001001001…
…1101110110001100100
3211221112102000120100002
43133202103232301210
512413030111240140
6302132542040432
723224630355021
oct3374223566144
9757472016302
10240020024420
1192879056950
123a626279118
1319831592cb7
14b88d1c2548
15639bab4415
hex37e24eec64

240020024420 has 48 divisors (see below), whose sum is σ = 557396477568. Its totient is φ = 86084386560.

The previous prime is 240020024411. The next prime is 240020024441. The reversal of 240020024420 is 24420020042.

It is a super-2 number, since 2×2400200244202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 240020024392 and 240020024401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7456544 + ... + 7488663.

It is an arithmetic number, because the mean of its divisors is an integer number (11612426616).

Almost surely, 2240020024420 is an apocalyptic number.

240020024420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240020024420 is an abundant number, since it is smaller than the sum of its proper divisors (317376453148).

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

240020024420 is a wasteful number, since it uses less digits than its factorization.

240020024420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14945300 (or 14945298 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 240020024420 its reverse (24420020042), we get a palindrome (264440044462).

The spelling of 240020024420 in words is "two hundred forty billion, twenty million, twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 730 803 1460 1606 3212 4015 8030 16060 14945207 29890414 59780828 74726035 149452070 164397277 298904140 328794554 657589108 821986385 1091000111 1643972770 2182000222 3287945540 4364000444 5455000555 10910001110 12001001221 21820002220 24002002442 48004004884 60005006105 120010012210 240020024420