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114368980 = 225111927361
BaseRepresentation
bin1101101000100…
…10000111010100
321222012112202011
412310102013110
5213234301410
615203154004
72556056155
oct664220724
9258175664
10114368980
1159616120
1232375904
131a904b6b
141129192c
15a09218a
hex6d121d4

114368980 has 48 divisors (see below), whose sum is σ = 275808960. Its totient is φ = 39398400.

The previous prime is 114368977. The next prime is 114368987. The reversal of 114368980 is 89863411.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114368987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9501 + ... + 17860.

It is an arithmetic number, because the mean of its divisors is an integer number (5746020).

Almost surely, 2114368980 is an apocalyptic number.

114368980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114368980 is an abundant number, since it is smaller than the sum of its proper divisors (161439980).

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

114368980 is a wasteful number, since it uses less digits than its factorization.

114368980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27400 (or 27398 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 114368980 is about 10694.3433646017. The cubic root of 114368980 is about 485.4033276578.

The spelling of 114368980 in words is "one hundred fourteen million, three hundred sixty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 27361 54722 109444 136805 273610 300971 519859 547220 601942 1039718 1203884 1504855 2079436 2599295 3009710 5198590 5718449 6019420 10397180 11436898 22873796 28592245 57184490 114368980