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716145920 = 2857257311
BaseRepresentation
bin101010101011111…
…000010100000000
31211220112222111222
4222223320110000
52431313132140
6155021254212
723514065660
oct5253702400
91756488458
10716145920
11338278036
1217ba04368
13b54a34a9
146b17c1a0
1542d115b5
hex2aaf8500

716145920 has 144 divisors (see below), whose sum is σ = 1974405888. Its totient is φ = 243793920.

The previous prime is 716145889. The next prime is 716145943. The reversal of 716145920 is 29541617.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 2302565 + ... + 2302875.

It is an arithmetic number, because the mean of its divisors is an integer number (13711152).

Almost surely, 2716145920 is an apocalyptic number.

716145920 is a gapful number since it is divisible by the number (70) 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 716145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987202944).

716145920 is an abundant number, since it is smaller than the sum of its proper divisors (1258259968).

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

716145920 is a wasteful number, since it uses less digits than its factorization.

716145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 716145920 is about 26760.9028248301. The cubic root of 716145920 is about 894.6788565154.

The spelling of 716145920 in words is "seven hundred sixteen million, one hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 257 280 311 320 448 514 560 622 640 896 1028 1120 1244 1280 1285 1555 1792 1799 2056 2177 2240 2488 2570 3110 3598 4112 4354 4480 4976 5140 6220 7196 8224 8708 8960 8995 9952 10280 10885 12440 14392 16448 17416 17990 19904 20560 21770 24880 28784 32896 34832 35980 39808 41120 43540 49760 57568 65792 69664 71960 79616 79927 82240 87080 99520 115136 139328 143920 159854 164480 174160 199040 230272 278656 287840 319708 328960 348320 398080 399635 460544 557312 559489 575680 639416 696640 799270 1118978 1151360 1278832 1393280 1598540 2237956 2302720 2557664 2786560 2797445 3197080 4475912 5115328 5594890 6394160 8951824 10230656 11189780 12788320 17903648 20461312 22379560 25576640 35807296 44759120 51153280 71614592 89518240 102306560 143229184 179036480 358072960 716145920