Search a number
-
+
102771372 = 223111375683
BaseRepresentation
bin1100010000000…
…10101010101100
321011101022211010
412020002222230
5202302140442
614110425220
72355353664
oct610025254
9234338733
10102771372
1153014720
122a502210
13183a4082
14d9131a4
159050b9c
hex6202aac

102771372 has 48 divisors (see below), whose sum is σ = 263555712. Its totient is φ = 30910080.

The previous prime is 102771329. The next prime is 102771391. The reversal of 102771372 is 273177201.

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, 15243 + ... + 20925.

It is an arithmetic number, because the mean of its divisors is an integer number (5490744).

Almost surely, 2102771372 is an apocalyptic number.

102771372 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 102771372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131777856).

102771372 is an abundant number, since it is smaller than the sum of its proper divisors (160784340).

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

102771372 is a wasteful number, since it uses less digits than its factorization.

102771372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5838 (or 5836 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 102771372 is about 10137.6216145603. The cubic root of 102771372 is about 468.4077278114.

The spelling of 102771372 in words is "one hundred two million, seven hundred seventy-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 137 274 411 548 822 1507 1644 3014 4521 5683 6028 9042 11366 17049 18084 22732 34098 62513 68196 125026 187539 250052 375078 750156 778571 1557142 2335713 3114284 4671426 8564281 9342852 17128562 25692843 34257124 51385686 102771372