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116751104 = 2817139193
BaseRepresentation
bin1101111010101…
…11101100000000
322010200120101222
412331113230000
5214342013404
615330214212
72615240141
oct675275400
9263616358
10116751104
115a9a2918
1233124368
131b25a1c2
1411711ac8
15a3b2dbe
hex6f57b00

116751104 has 72 divisors (see below), whose sum is σ = 249817680. Its totient is φ = 54263808.

The previous prime is 116751091. The next prime is 116751113. The reversal of 116751104 is 401157611.

It is a happy 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, 604832 + ... + 605024.

It is an arithmetic number, because the mean of its divisors is an integer number (3469690).

Almost surely, 2116751104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116751104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124908840).

116751104 is an abundant number, since it is smaller than the sum of its proper divisors (133066576).

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

116751104 is a wasteful number, since it uses less digits than its factorization.

116751104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 26.

The square root of 116751104 is about 10805.1424793938. The cubic root of 116751104 is about 488.7502568663.

The spelling of 116751104 in words is "one hundred sixteen million, seven hundred fifty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 139 193 256 272 278 386 544 556 772 1088 1112 1544 2176 2224 2363 3088 3281 4352 4448 4726 6176 6562 8896 9452 12352 13124 17792 18904 24704 26248 26827 35584 37808 49408 52496 53654 75616 104992 107308 151232 209984 214616 302464 419968 429232 456059 604928 839936 858464 912118 1716928 1824236 3433856 3648472 6867712 7296944 14593888 29187776 58375552 116751104