Search a number
-
+
2106176952 = 2331131257353
BaseRepresentation
bin111110110001001…
…1011010110111000
312102210010212121210
41331202123112320
513303140130302
6544554403120
7103123131405
oct17542332670
95383125553
102106176952
11990977a10
124a94304a0
13277471569
1415da172ac
15c4d8766c
hex7d89b5b8

2106176952 has 64 divisors (see below), whose sum is σ = 5929436160. Its totient is φ = 617644800.

The previous prime is 2106176837. The next prime is 2106176977. The reversal of 2106176952 is 2596716012.

It is a self number, because there is not a number n which added to its sum of digits gives 2106176952.

It is a congruent number.

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, 120493 + ... + 136860.

It is an arithmetic number, because the mean of its divisors is an integer number (92647440).

Almost surely, 22106176952 is an apocalyptic number.

2106176952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2106176952 is an abundant number, since it is smaller than the sum of its proper divisors (3823259208).

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

2106176952 is a wasteful number, since it uses less digits than its factorization.

2106176952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257404 (or 257400 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 2106176952 is about 45893.1035341913. The cubic root of 2106176952 is about 1281.8335035751.

The spelling of 2106176952 in words is "two billion, one hundred six million, one hundred seventy-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 2046 2728 4092 8184 257353 514706 772059 1029412 1544118 2058824 2830883 3088236 5661766 6176472 7977943 8492649 11323532 15955886 16985298 22647064 23933829 31911772 33970596 47867658 63823544 67941192 87757373 95735316 175514746 191470632 263272119 351029492 526544238 702058984 1053088476 2106176952