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916313640 = 23351135737
BaseRepresentation
bin110110100111011…
…101011000101000
32100212012120000020
4312213131120220
53334034014030
6230531440440
731464352224
oct6647353050
92325176006
10916313640
11430265000
12216a56120
13117ab8c28
14899a5784
15556a0510
hex369dd628

916313640 has 128 divisors (see below), whose sum is σ = 3024155520. Its totient is φ = 222097920.

The previous prime is 916313611. The next prime is 916313659. The reversal of 916313640 is 46313619.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156852 + ... + 162588.

It is an arithmetic number, because the mean of its divisors is an integer number (23626215).

Almost surely, 2916313640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916313640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512077760).

916313640 is an abundant number, since it is smaller than the sum of its proper divisors (2107841880).

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

916313640 is a wasteful number, since it uses less digits than its factorization.

916313640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5784 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 916313640 is about 30270.6729360284. The cubic root of 916313640 is about 971.2880610332.

The spelling of 916313640 in words is "nine hundred sixteen million, three hundred thirteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1331 1452 1815 2420 2662 2904 3630 3993 4840 5324 5737 6655 7260 7986 10648 11474 13310 14520 15972 17211 19965 22948 26620 28685 31944 34422 39930 45896 53240 57370 63107 68844 79860 86055 114740 126214 137688 159720 172110 189321 229480 252428 315535 344220 378642 504856 631070 688440 694177 757284 946605 1262140 1388354 1514568 1893210 2082531 2524280 2776708 3470885 3786420 4165062 5553416 6941770 7572840 7635947 8330124 10412655 13883540 15271894 16660248 20825310 22907841 27767080 30543788 38179735 41650620 45815682 61087576 76359470 83301240 91631364 114539205 152718940 183262728 229078410 305437880 458156820 916313640