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114968640 = 2635119759
BaseRepresentation
bin1101101101001…
…00100001000000
322000100000022210
412312210201000
5213412444030
615224102120
72564134353
oct666444100
9260300283
10114968640
1159995706
1232604940
131aa84aa7
14113aa29a
15a15ebb0
hex6da4840

114968640 has 56 divisors (see below), whose sum is σ = 365028480. Its totient is φ = 30658048.

The previous prime is 114968629. The next prime is 114968647. The reversal of 114968640 is 46869411.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (114968647) 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, 58920 + ... + 60839.

Almost surely, 2114968640 is an apocalyptic number.

114968640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114968640 is an abundant number, since it is smaller than the sum of its proper divisors (250059840).

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

114968640 is a wasteful number, since it uses less digits than its factorization.

114968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119779 (or 119769 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 114968640 is about 10722.3430275290. The cubic root of 114968640 is about 486.2502056334.

The spelling of 114968640 in words is "one hundred fourteen million, nine hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 119759 239518 359277 479036 598795 718554 958072 1197590 1437108 1796385 1916144 2395180 2874216 3592770 3832288 4790360 5748432 7185540 7664576 9580720 11496864 14371080 19161440 22993728 28742160 38322880 57484320 114968640