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102071552 = 281167541
BaseRepresentation
bin1100001010101…
…11110100000000
321010001202211212
412011113310000
5202112242202
614043425252
72346410462
oct605276400
9233052755
10102071552
1152686960
122a225228
13181ba68b
14d7b0132
158e63652
hex6157d00

102071552 has 72 divisors (see below), whose sum is σ = 226000992. Its totient is φ = 45619200.

The previous prime is 102071549. The next prime is 102071573. The reversal of 102071552 is 255170201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188402 + ... + 188942.

Almost surely, 2102071552 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 102071552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113000496).

102071552 is an abundant number, since it is smaller than the sum of its proper divisors (123929440).

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

102071552 is an equidigital number, since it uses as much as digits as its factorization.

102071552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 102071552 is about 10103.0466691984. The cubic root of 102071552 is about 467.3421003920.

The spelling of 102071552 in words is "one hundred two million, seventy-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 128 134 176 256 268 352 536 541 704 737 1072 1082 1408 1474 2144 2164 2816 2948 4288 4328 5896 5951 8576 8656 11792 11902 17152 17312 23584 23804 34624 36247 47168 47608 69248 72494 94336 95216 138496 144988 188672 190432 289976 380864 398717 579952 761728 797434 1159904 1523456 1594868 2319808 3189736 4639616 6379472 9279232 12758944 25517888 51035776 102071552