Search a number
-
+
1011403420 = 225292157383
BaseRepresentation
bin111100010010001…
…100101010011100
32121111010121122221
4330102030222130
54032404402140
6244205515124
734030534006
oct7422145234
92544117587
101011403420
11479a023a5
12242872aa4
13131700781
1498479376
155dbd514a
hex3c48ca9c

1011403420 has 72 divisors (see below), whose sum is σ = 2219503104. Its totient is φ = 387109632.

The previous prime is 1011403417. The next prime is 1011403433. The reversal of 1011403420 is 243041101.

It is a junction number, because it is equal to n+sod(n) for n = 1011403394 and 1011403403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2640549 + ... + 2640931.

It is an arithmetic number, because the mean of its divisors is an integer number (30826432).

Almost surely, 21011403420 is an apocalyptic number.

1011403420 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 1011403420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109751552).

1011403420 is an abundant number, since it is smaller than the sum of its proper divisors (1208099684).

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

1011403420 is a wasteful number, since it uses less digits than its factorization.

1011403420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1011403420 is about 31802.5693930538. The cubic root of 1011403420 is about 1003.7867821803.

Adding to 1011403420 its reverse (243041101), we get a palindrome (1254444521).

The spelling of 1011403420 in words is "one billion, eleven million, four hundred three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 157 290 314 383 580 628 766 785 841 1532 1570 1682 1915 3140 3364 3830 4205 4553 7660 8410 9106 11107 16820 18212 22214 22765 44428 45530 55535 60131 91060 111070 120262 132037 222140 240524 264074 300655 322103 528148 601310 644206 660185 1202620 1288412 1320370 1610515 1743799 2640740 3221030 3487598 6442060 6975196 8718995 17437990 34875980 50570171 101140342 202280684 252850855 505701710 1011403420