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714697984 = 28711132789
BaseRepresentation
bin101010100110010…
…110110100000000
31211210211102022201
4222212112310000
52430430313414
6154530242544
723465555410
oct5246266400
91753742281
10714697984
113374791a0
1217b426454
13b50b7420
146acc2640
1542b27574
hex2a996d00

714697984 has 144 divisors (see below), whose sum is σ = 1916127360. Its totient is φ = 256942080.

The previous prime is 714697979. The next prime is 714697987. The reversal of 714697984 is 489796417.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (714697987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254862 + ... + 257650.

It is an arithmetic number, because the mean of its divisors is an integer number (13306440).

Almost surely, 2714697984 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 714697984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958063680).

714697984 is an abundant number, since it is smaller than the sum of its proper divisors (1201429376).

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

714697984 is a wasteful number, since it uses less digits than its factorization.

714697984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836 (or 2822 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 55.

The square root of 714697984 is about 26733.8359387500. The cubic root of 714697984 is about 894.0754823851.

The spelling of 714697984 in words is "seven hundred fourteen million, six hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 128 143 154 176 182 208 224 256 286 308 352 364 416 448 572 616 704 728 832 896 1001 1144 1232 1408 1456 1664 1792 2002 2288 2464 2789 2816 2912 3328 4004 4576 4928 5578 5824 8008 9152 9856 11156 11648 16016 18304 19523 19712 22312 23296 30679 32032 36257 36608 39046 44624 61358 64064 72514 78092 89248 122716 128128 145028 156184 178496 214753 245432 253799 256256 290056 312368 356992 398827 429506 490864 507598 580112 624736 713984 797654 859012 981728 1015196 1160224 1249472 1595308 1718024 1963456 2030392 2320448 2498944 2791789 3190616 3436048 3926912 4060784 4640896 4997888 5583578 6381232 6872096 7853824 8121568 9281792 11167156 12762464 13744192 16243136 22334312 25524928 27488384 32486272 44668624 51049856 54976768 64972544 89337248 102099712 178674496 357348992 714697984