Search a number
-
+
114912080 = 2457120231
BaseRepresentation
bin1101101100101…
…10101101010000
322000020010201222
412312112231100
5213404141310
615222544212
72563510433
oct666265520
9260203658
10114912080
1159957168
1232598068
131aa6511a
141139381a
15a14d055
hex6d96b50

114912080 has 40 divisors (see below), whose sum is σ = 270946944. Its totient is φ = 45315200.

The previous prime is 114912059. The next prime is 114912101. The reversal of 114912080 is 80219411.

It is an interprime number because it is at equal distance from previous prime (114912059) and next prime (114912101).

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

It is a super-2 number, since 2×1149120802 = 26409572259852800, which contains 22 as substring.

It is a congruent number.

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, 4436 + ... + 15795.

Almost surely, 2114912080 is an apocalyptic number.

114912080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114912080 is an abundant number, since it is smaller than the sum of its proper divisors (156034864).

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

114912080 is a wasteful number, since it uses less digits than its factorization.

114912080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20315 (or 20309 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 114912080 is about 10719.7052198276. The cubic root of 114912080 is about 486.1704539641.

The spelling of 114912080 in words is "one hundred fourteen million, nine hundred twelve thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 5680 20231 40462 80924 101155 161848 202310 323696 404620 809240 1436401 1618480 2872802 5745604 7182005 11491208 14364010 22982416 28728020 57456040 114912080