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116354640 = 24353713103
BaseRepresentation
bin1101110111101…
…10111001010000
322002221102120010
412323312321100
5214241322030
615313514520
72611666233
oct673667120
9262842503
10116354640
115a751a66
1232b72a40
131b14b8cc
141164b41a
15a3356b0
hex6ef6e50

116354640 has 80 divisors (see below), whose sum is σ = 370476288. Its totient is φ = 30187008.

The previous prime is 116354639. The next prime is 116354653. The reversal of 116354640 is 46453611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 116354598 and 116354607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2329 + ... + 15431.

Almost surely, 2116354640 is an apocalyptic number.

116354640 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 116354640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185238144).

116354640 is an abundant number, since it is smaller than the sum of its proper divisors (254121648).

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

116354640 is a wasteful number, since it uses less digits than its factorization.

116354640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13156 (or 13150 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 116354640 is about 10786.7807987369. The cubic root of 116354640 is about 488.1963959117.

The spelling of 116354640 in words is "one hundred sixteen million, three hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 13103 26206 39309 52412 65515 78618 104824 131030 157236 196545 209648 262060 314472 393090 484811 524120 628944 786180 969622 1048240 1454433 1572360 1939244 2424055 2908866 3144720 3878488 4848110 5817732 7272165 7756976 9696220 11635464 14544330 19392440 23270928 29088660 38784880 58177320 116354640