Search a number
-
+
102776080 = 24511116791
BaseRepresentation
bin1100010000000…
…11110100010000
321011101120021111
412020003310100
5202302313310
614110503104
72355403501
oct610036420
9234346244
10102776080
1153018210
122a504a94
13183a6264
14d914ba8
15905228a
hex6203d10

102776080 has 40 divisors (see below), whose sum is σ = 260679744. Its totient is φ = 37372800.

The previous prime is 102776071. The next prime is 102776117. The reversal of 102776080 is 80677201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57516 + ... + 59275.

Almost surely, 2102776080 is an apocalyptic number.

102776080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102776080 is an abundant number, since it is smaller than the sum of its proper divisors (157903664).

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

102776080 is a wasteful number, since it uses less digits than its factorization.

102776080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116815 (or 116809 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 102776080 is about 10137.8538162670. The cubic root of 102776080 is about 468.4148803542.

The spelling of 102776080 in words is "one hundred two million, seven hundred seventy-six thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 116791 233582 467164 583955 934328 1167910 1284701 1868656 2335820 2569402 4671640 5138804 6423505 9343280 10277608 12847010 20555216 25694020 51388040 102776080