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102451032 = 233231197233
BaseRepresentation
bin1100001101101…
…00011101011000
321010210001101200
412012310131120
5202211413112
614055514200
72352551025
oct606643530
9233701350
10102451032
1152915a82
122a388960
13182c1318
14d86c54c
158edacdc
hex61b4758

102451032 has 96 divisors (see below), whose sum is σ = 289111680. Its totient is φ = 32739840.

The previous prime is 102451031. The next prime is 102451051. The reversal of 102451032 is 230154201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102450996 and 102451014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102451031) 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, 439588 + ... + 439820.

It is an arithmetic number, because the mean of its divisors is an integer number (3011580).

Almost surely, 2102451032 is an apocalyptic number.

102451032 is a gapful number since it is divisible by the number (12) 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 102451032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144555840).

102451032 is an abundant number, since it is smaller than the sum of its proper divisors (186660648).

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

102451032 is a wasteful number, since it uses less digits than its factorization.

102451032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102451032 is about 10121.8097196104. The cubic root of 102451032 is about 467.9205431619.

The spelling of 102451032 in words is "one hundred two million, four hundred fifty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 197 233 248 279 372 394 466 558 591 699 744 788 932 1116 1182 1398 1576 1773 1864 2097 2232 2364 2796 3546 4194 4728 5592 6107 7092 7223 8388 12214 14184 14446 16776 18321 21669 24428 28892 36642 43338 45901 48856 54963 57784 65007 73284 86676 91802 109926 130014 137703 146568 173352 183604 219852 260028 275406 367208 413109 439704 520056 550812 826218 1101624 1422931 1652436 2845862 3304872 4268793 5691724 8537586 11383448 12806379 17075172 25612758 34150344 51225516 102451032