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70216800 = 25352171721
BaseRepresentation
bin1000010111101…
…10110001100000
311220010101100020
410023312301200
5120433414200
610544553440
71511555463
oct413666140
9156111306
1070216800
11366a9a15
121b622880
1311716404
14947b2da
15626eea0
hex42f6c60

70216800 has 144 divisors (see below), whose sum is σ = 242140752. Its totient is φ = 17612800.

The previous prime is 70216789. The next prime is 70216813. The reversal of 70216800 is 861207.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39940 + ... + 41660.

It is an arithmetic number, because the mean of its divisors is an integer number (1681533).

Almost surely, 270216800 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 70216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121070376).

70216800 is an abundant number, since it is smaller than the sum of its proper divisors (171923952).

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

70216800 is a wasteful number, since it uses less digits than its factorization.

70216800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 70216800 is about 8379.5465271099. The cubic root of 70216800 is about 412.5535651285.

The spelling of 70216800 in words is "seventy million, two hundred sixteen thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 68 75 80 85 96 100 102 120 136 150 160 170 200 204 240 255 272 300 340 400 408 425 480 510 544 600 680 800 816 850 1020 1200 1275 1360 1632 1700 1721 2040 2400 2550 2720 3400 3442 4080 5100 5163 6800 6884 8160 8605 10200 10326 13600 13768 17210 20400 20652 25815 27536 29257 34420 40800 41304 43025 51630 55072 58514 68840 82608 86050 87771 103260 117028 129075 137680 146285 165216 172100 175542 206520 234056 258150 275360 292570 344200 351084 413040 438855 468112 516300 585140 688400 702168 731425 826080 877710 936224 1032600 1170280 1376800 1404336 1462850 1755420 2065200 2194275 2340560 2808672 2925700 3510840 4130400 4388550 4681120 5851400 7021680 8777100 11702800 14043360 17554200 23405600 35108400 70216800