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1012153440 = 25352108653
BaseRepresentation
bin111100010101000…
…011110001100000
32121112112201111110
4330111003301200
54033102402230
6244233543320
734040106444
oct7425036140
92545481443
101012153440
1147a374951
12242b74b40
13131903c7c
14985d2824
155dcd24b0
hex3c543c60

1012153440 has 48 divisors (see below), whose sum is σ = 3188284848. Its totient is φ = 269907456.

The previous prime is 1012153423. The next prime is 1012153459. The reversal of 1012153440 is 443512101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10121534402 = 2048909172207667200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1053847 + ... + 1054806.

It is an arithmetic number, because the mean of its divisors is an integer number (66422601).

Almost surely, 21012153440 is an apocalyptic number.

1012153440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012153440 is an abundant number, since it is smaller than the sum of its proper divisors (2176131408).

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

1012153440 is a wasteful number, since it uses less digits than its factorization.

1012153440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108671 (or 2108663 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1012153440 is about 31814.3590223031. The cubic root of 1012153440 is about 1004.0348447984.

Adding to 1012153440 its reverse (443512101), we get a palindrome (1455665541).

The spelling of 1012153440 in words is "one billion, twelve million, one hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2108653 4217306 6325959 8434612 10543265 12651918 16869224 21086530 25303836 31629795 33738448 42173060 50607672 63259590 67476896 84346120 101215344 126519180 168692240 202430688 253038360 337384480 506076720 1012153440