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116133440 = 2652331509
BaseRepresentation
bin1101110110000…
…00111001000000
322002112012010112
412323000321000
5214212232230
615305050452
72610055313
oct673007100
9262465115
10116133440
115a610855
1232a86a28
131b0a2017
14115d097a
15a2ded95
hex6ec0e40

116133440 has 112 divisors (see below), whose sum is σ = 298460160. Its totient is φ = 42915840.

The previous prime is 116133421. The next prime is 116133461. The reversal of 116133440 is 44331611.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227906 + ... + 228414.

Almost surely, 2116133440 is an apocalyptic number.

116133440 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 116133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149230080).

116133440 is an abundant number, since it is smaller than the sum of its proper divisors (182326720).

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

116133440 is a wasteful number, since it uses less digits than its factorization.

116133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 116133440 is about 10776.5226302365. The cubic root of 116133440 is about 487.8868321296.

The spelling of 116133440 in words is "one hundred sixteen million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 31 32 40 46 62 64 80 92 115 124 155 160 184 230 248 310 320 368 460 496 509 620 713 736 920 992 1018 1240 1426 1472 1840 1984 2036 2480 2545 2852 3565 3680 4072 4960 5090 5704 7130 7360 8144 9920 10180 11408 11707 14260 15779 16288 20360 22816 23414 28520 31558 32576 40720 45632 46828 57040 58535 63116 78895 81440 93656 114080 117070 126232 157790 162880 187312 228160 234140 252464 315580 362917 374624 468280 504928 631160 725834 749248 936560 1009856 1262320 1451668 1814585 1873120 2524640 2903336 3629170 3746240 5049280 5806672 7258340 11613344 14516680 23226688 29033360 58066720 116133440