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116235700 = 22527473533
BaseRepresentation
bin1101110110110…
…01110110110100
322002201101101221
412323121312310
5214224020300
615311200124
72610662410
oct673316664
9262641357
10116235700
115a680669
1232b16044
131b109729
1411619d40
15a31031a
hex6ed9db4

116235700 has 72 divisors (see below), whose sum is σ = 294481152. Its totient is φ = 38993280.

The previous prime is 116235689. The next prime is 116235719. The reversal of 116235700 is 7532611.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31134 + ... + 34666.

It is an arithmetic number, because the mean of its divisors is an integer number (4090016).

Almost surely, 2116235700 is an apocalyptic number.

116235700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116235700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147240576).

116235700 is an abundant number, since it is smaller than the sum of its proper divisors (178245452).

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

116235700 is a wasteful number, since it uses less digits than its factorization.

116235700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 116235700 is about 10781.2661594082. The cubic root of 116235700 is about 488.0299912142.

The spelling of 116235700 in words is "one hundred sixteen million, two hundred thirty-five thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 47 50 70 94 100 140 175 188 235 329 350 470 658 700 940 1175 1316 1645 2350 3290 3533 4700 6580 7066 8225 14132 16450 17665 24731 32900 35330 49462 70660 88325 98924 123655 166051 176650 247310 332102 353300 494620 618275 664204 830255 1162357 1236550 1660510 2324714 2473100 3321020 4151275 4649428 5811785 8302550 11623570 16605100 23247140 29058925 58117850 116235700