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114956920 = 23513221071
BaseRepresentation
bin1101101101000…
…01101001111000
322000022102020201
412312201221320
5213412110140
615223531544
72564055241
oct666415170
9260272221
10114956920
1159987921
12325b9bb4
131aa7c660
14113a5cc8
15a15b49a
hex6da1a78

114956920 has 32 divisors (see below), whose sum is σ = 278550720. Its totient is φ = 42445440.

The previous prime is 114956911. The next prime is 114956923. The reversal of 114956920 is 29659411.

It is a self number, because there is not a number n which added to its sum of digits gives 114956920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114956923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110016 + ... + 111055.

It is an arithmetic number, because the mean of its divisors is an integer number (8704710).

Almost surely, 2114956920 is an apocalyptic number.

114956920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114956920 is an abundant number, since it is smaller than the sum of its proper divisors (163593800).

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

114956920 is a wasteful number, since it uses less digits than its factorization.

114956920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221095 (or 221091 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 114956920 is about 10721.7964912602. The cubic root of 114956920 is about 486.2336821534.

The spelling of 114956920 in words is "one hundred fourteen million, nine hundred fifty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 221071 442142 884284 1105355 1768568 2210710 2873923 4421420 5747846 8842840 11495692 14369615 22991384 28739230 57478460 114956920