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914926680 = 2332510125163
BaseRepresentation
bin110110100010001…
…010110001011000
32100202121002110100
4312202022301120
53333210123210
6230442015400
731446514503
oct6642126130
92322532410
10914926680
1142a4a7a58
122164a7560
13117721845
148972413a
15554c95c0
hex3688ac58

914926680 has 96 divisors (see below), whose sum is σ = 3003071760. Its totient is φ = 241555200.

The previous prime is 914926673. The next prime is 914926681. The reversal of 914926680 is 86629419.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (914926681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23779 + ... + 48941.

Almost surely, 2914926680 is an apocalyptic number.

914926680 is a gapful number since it is divisible by the number (90) 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 914926680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501535880).

914926680 is an abundant number, since it is smaller than the sum of its proper divisors (2088145080).

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

914926680 is a wasteful number, since it uses less digits than its factorization.

914926680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25281 (or 25274 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 914926680 is about 30247.7549580130. The cubic root of 914926680 is about 970.7977565887.

The spelling of 914926680 in words is "nine hundred fourteen million, nine hundred twenty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 101 120 180 202 303 360 404 505 606 808 909 1010 1212 1515 1818 2020 2424 3030 3636 4040 4545 6060 7272 9090 12120 18180 25163 36360 50326 75489 100652 125815 150978 201304 226467 251630 301956 377445 452934 503260 603912 754890 905868 1006520 1132335 1509780 1811736 2264670 2541463 3019560 4529340 5082926 7624389 9058680 10165852 12707315 15248778 20331704 22873167 25414630 30497556 38121945 45746334 50829260 60995112 76243890 91492668 101658520 114365835 152487780 182985336 228731670 304975560 457463340 914926680