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116151040 = 285103881
BaseRepresentation
bin1101110110001…
…01001100000000
322002120002021101
412323011030000
5214213313130
615305304144
72610160525
oct673051400
9262502241
10116151040
115a622aa5
1232a95054
131b0aa035
14115d714c
15a2e51ca
hex6ec5300

116151040 has 72 divisors (see below), whose sum is σ = 281238048. Its totient is φ = 45957120.

The previous prime is 116151023. The next prime is 116151071. The reversal of 116151040 is 40151611.

It is a junction number, because it is equal to n+sod(n) for n = 116150999 and 116151017.

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 7 ways as a sum of consecutive naturals, for example, 131400 + ... + 132280.

It is an arithmetic number, because the mean of its divisors is an integer number (3906084).

Almost surely, 2116151040 is an apocalyptic number.

116151040 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 116151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140619024).

116151040 is an abundant number, since it is smaller than the sum of its proper divisors (165087008).

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

116151040 is an equidigital number, since it uses as much as digits as its factorization.

116151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 116151040 is about 10777.3391892433. The cubic root of 116151040 is about 487.9114772692.

The spelling of 116151040 in words is "one hundred sixteen million, one hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 128 160 206 256 320 412 515 640 824 881 1030 1280 1648 1762 2060 3296 3524 4120 4405 6592 7048 8240 8810 13184 14096 16480 17620 26368 28192 32960 35240 56384 65920 70480 90743 112768 131840 140960 181486 225536 281920 362972 453715 563840 725944 907430 1127680 1451888 1814860 2903776 3629720 5807552 7259440 11615104 14518880 23230208 29037760 58075520 116151040