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70913920 = 2757111439
BaseRepresentation
bin1000011101000…
…00111110000000
311221102210121111
410032200332000
5121123221140
611011533104
71520521060
oct416407600
9157383544
1070913920
1137035750
121b8ba194
13118cb7cc
1495bd3a0
15635b7ea
hex43a0f80

70913920 has 128 divisors (see below), whose sum is σ = 211507200. Its totient is φ = 22087680.

The previous prime is 70913897. The next prime is 70913933. The reversal of 70913920 is 2931907.

It is a tau number, because it is divible by the number of its divisors (128).

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, 48561 + ... + 49999.

It is an arithmetic number, because the mean of its divisors is an integer number (1652400).

Almost surely, 270913920 is an apocalyptic number.

70913920 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 70913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105753600).

70913920 is an abundant number, since it is smaller than the sum of its proper divisors (140593280).

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

70913920 is a wasteful number, since it uses less digits than its factorization.

70913920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 31.

The square root of 70913920 is about 8421.0403157805. The cubic root of 70913920 is about 413.9143637976.

It can be divided in two parts, 7091 and 3920, that added together give a palindrome (11011).

The spelling of 70913920 in words is "seventy million, nine hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1120 1232 1408 1439 1540 1760 2240 2464 2878 3080 3520 4480 4928 5756 6160 7040 7195 9856 10073 11512 12320 14390 15829 20146 23024 24640 28780 31658 40292 46048 49280 50365 57560 63316 79145 80584 92096 100730 110803 115120 126632 158290 161168 184192 201460 221606 230240 253264 316580 322336 402920 443212 460480 506528 554015 633160 644672 805840 886424 920960 1013056 1108030 1266320 1289344 1611680 1772848 2026112 2216060 2532640 3223360 3545696 4432120 5065280 6446720 7091392 8864240 10130560 14182784 17728480 35456960 70913920