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70374960 = 24335311051
BaseRepresentation
bin1000011000111…
…01011000110000
311220102102022000
410030131120300
5121003444320
610552214000
71513114545
oct414353060
9156372260
1070374960
11367a7827
121b69a300
13117703b6
1494bcbcc
1562a1c90
hex431d630

70374960 has 160 divisors (see below), whose sum is σ = 250460160. Its totient is φ = 18144000.

The previous prime is 70374949. The next prime is 70374971. The reversal of 70374960 is 6947307.

It is an interprime number because it is at equal distance from previous prime (70374949) and next prime (70374971).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66435 + ... + 67485.

It is an arithmetic number, because the mean of its divisors is an integer number (1565376).

Almost surely, 270374960 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 70374960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125230080).

70374960 is an abundant number, since it is smaller than the sum of its proper divisors (180085200).

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

70374960 is a wasteful number, since it uses less digits than its factorization.

70374960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 70374960 is about 8388.9784837011. The cubic root of 70374960 is about 412.8630852748.

The spelling of 70374960 in words is "seventy million, three hundred seventy-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 240 248 270 279 310 360 372 432 465 496 540 558 620 720 744 837 930 1051 1080 1116 1240 1395 1488 1674 1860 2102 2160 2232 2480 2790 3153 3348 3720 4185 4204 4464 5255 5580 6306 6696 7440 8370 8408 9459 10510 11160 12612 13392 15765 16740 16816 18918 21020 22320 25224 28377 31530 32581 33480 37836 42040 47295 50448 56754 63060 65162 66960 75672 84080 94590 97743 113508 126120 130324 141885 151344 162905 189180 195486 227016 252240 260648 283770 293229 325810 378360 390972 454032 488715 521296 567540 586458 651620 756720 781944 879687 977430 1135080 1172916 1303240 1466145 1563888 1759374 1954860 2270160 2345832 2606480 2932290 3518748 3909720 4398435 4691664 5864580 7037496 7819440 8796870 11729160 14074992 17593740 23458320 35187480 70374960