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1008923940 = 2232519295007
BaseRepresentation
bin111100001000101…
…111010100100100
32121022110122110100
4330020233110210
54031241031230
6244040424100
734000466133
oct7410572444
92538418410
101008923940
11478569542
12241a78030
1313104301b
1497dd191a
155d895660
hex3c22f524

1008923940 has 72 divisors (see below), whose sum is σ = 3221487360. Its totient is φ = 254885184.

The previous prime is 1008923933. The next prime is 1008923977. The reversal of 1008923940 is 493298001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1008923895 and 1008923904.

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, 144084 + ... + 150923.

It is an arithmetic number, because the mean of its divisors is an integer number (44742880).

Almost surely, 21008923940 is an apocalyptic number.

1008923940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1008923940 is an abundant number, since it is smaller than the sum of its proper divisors (2212563420).

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

1008923940 is a wasteful number, since it uses less digits than its factorization.

1008923940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295041 (or 295036 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1008923940 is about 31763.5630872860. The cubic root of 1008923940 is about 1002.9658417533.

The spelling of 1008923940 in words is "one billion, eight million, nine hundred twenty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 295007 590014 885021 1180028 1475035 1770042 2655063 2950070 3540084 4425105 5310126 5605133 5900140 8850210 10620252 11210266 13275315 16815399 17700420 22420532 26550630 28025665 33630798 50446197 53101260 56051330 67261596 84076995 100892394 112102660 168153990 201784788 252230985 336307980 504461970 1008923940