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1008930132 = 223274197651
BaseRepresentation
bin111100001000110…
…000110101010100
32121022110221221200
4330020300311110
54031241231012
6244040512500
734000523160
oct7410606524
92538427850
101008930132
11478573161
12241a7b730
13131045aa2
1497dd3ca0
155d8973dc
hex3c230d54

1008930132 has 72 divisors (see below), whose sum is σ = 2985807552. Its totient is φ = 281232000.

The previous prime is 1008930053. The next prime is 1008930133. The reversal of 1008930132 is 2310398001.

It is a super-2 number, since 2×10089301322 = 2035880022515074848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1008930096 and 1008930105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008930133) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 38494 + ... + 59157.

Almost surely, 21008930132 is an apocalyptic number.

1008930132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1008930132 is an abundant number, since it is smaller than the sum of its proper divisors (1976877420).

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

1008930132 is a wasteful number, since it uses less digits than its factorization.

1008930132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97709 (or 97704 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1008930132 is about 31763.6605573098. The cubic root of 1008930132 is about 1002.9678935604.

The spelling of 1008930132 in words is "one billion, eight million, nine hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1476 1722 2583 3444 5166 10332 97651 195302 292953 390604 585906 683557 878859 1171812 1367114 1757718 2050671 2734228 3515436 4003691 4101342 6152013 8007382 8202684 12011073 12304026 16014764 24022146 24608052 28025837 36033219 48044292 56051674 72066438 84077511 112103348 144132876 168155022 252232533 336310044 504465066 1008930132