Search a number
-
+
102130952 = 23711374481
BaseRepresentation
bin1100001011001…
…10010100001000
321010011210022212
412011212110020
5202121142302
614045004252
72350045610
oct605462410
9233153285
10102130952
1152717550
122a253688
131820b721
14d7c7a40
158e76052
hex6166508

102130952 has 64 divisors (see below), whose sum is σ = 245255040. Its totient is φ = 38707200.

The previous prime is 102130949. The next prime is 102130969. The reversal of 102130952 is 259031201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20552 + ... + 25032.

It is an arithmetic number, because the mean of its divisors is an integer number (3832110).

Almost surely, 2102130952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102130952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122627520).

102130952 is an abundant number, since it is smaller than the sum of its proper divisors (143124088).

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

102130952 is a wasteful number, since it uses less digits than its factorization.

102130952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4542 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 102130952 is about 10105.9859489315. The cubic root of 102130952 is about 467.4327385669.

The spelling of 102130952 in words is "one hundred two million, one hundred thirty thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 56 74 77 88 148 154 259 296 308 407 518 616 814 1036 1628 2072 2849 3256 4481 5698 8962 11396 17924 22792 31367 35848 49291 62734 98582 125468 165797 197164 250936 331594 345037 394328 663188 690074 1160579 1326376 1380148 1823767 2321158 2760296 3647534 4642316 7295068 9284632 12766369 14590136 25532738 51065476 102130952