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70394240 = 275719827
BaseRepresentation
bin1000011001000…
…10000110000000
311220110101202002
410030202012000
5121010103430
610552443132
71513225010
oct414420600
9156411662
1070394240
1136810264
121b6a94a8
13117790c7
1494c5c40
1562a7845
hex4322180

70394240 has 128 divisors (see below), whose sum is σ = 202694400. Its totient is φ = 22837248.

The previous prime is 70394189. The next prime is 70394267. The reversal of 70394240 is 4249307.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84707 + ... + 85533.

It is an arithmetic number, because the mean of its divisors is an integer number (1583550).

Almost surely, 270394240 is an apocalyptic number.

70394240 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 70394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101347200).

70394240 is an abundant number, since it is smaller than the sum of its proper divisors (132300160).

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

70394240 is a wasteful number, since it uses less digits than its factorization.

70394240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 70394240 is about 8390.1275318078. The cubic root of 70394240 is about 412.9007846378.

The spelling of 70394240 in words is "seventy million, three hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 133 140 152 160 190 224 266 280 304 320 380 448 532 560 608 640 665 760 827 896 1064 1120 1216 1330 1520 1654 2128 2240 2432 2660 3040 3308 4135 4256 4480 5320 5789 6080 6616 8270 8512 10640 11578 12160 13232 15713 16540 17024 21280 23156 26464 28945 31426 33080 42560 46312 52928 57890 62852 66160 78565 85120 92624 105856 109991 115780 125704 132320 157130 185248 219982 231560 251408 264640 314260 370496 439964 463120 502816 529280 549955 628520 740992 879928 926240 1005632 1099910 1257040 1759856 1852480 2011264 2199820 2514080 3519712 3704960 4399640 5028160 7039424 8799280 10056320 14078848 17598560 35197120 70394240