Search a number
-
+
102068472 = 233111093547
BaseRepresentation
bin1100001010101…
…11000011111000
321010001121121210
412011113003320
5202112142342
614043403120
72346365502
oct605270370
9233047553
10102068472
1152684610
122a2234a0
13181b915c
14d7acd72
158e6279c
hex61570f8

102068472 has 64 divisors (see below), whose sum is σ = 281001600. Its totient is φ = 30637440.

The previous prime is 102068467. The next prime is 102068489. The reversal of 102068472 is 274860201.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 27003 + ... + 30549.

It is an arithmetic number, because the mean of its divisors is an integer number (4390650).

Almost surely, 2102068472 is an apocalyptic number.

102068472 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 102068472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140500800).

102068472 is an abundant number, since it is smaller than the sum of its proper divisors (178933128).

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

102068472 is a wasteful number, since it uses less digits than its factorization.

102068472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 102068472 is about 10102.8942387813. The cubic root of 102068472 is about 467.3373996760.

The spelling of 102068472 in words is "one hundred two million, sixty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 109 132 218 264 327 436 654 872 1199 1308 2398 2616 3547 3597 4796 7094 7194 9592 10641 14188 14388 21282 28376 28776 39017 42564 78034 85128 117051 156068 234102 312136 386623 468204 773246 936408 1159869 1546492 2319738 3092984 4252853 4639476 8505706 9278952 12758559 17011412 25517118 34022824 51034236 102068472