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70400880 = 24335112963
BaseRepresentation
bin1000011001000…
…11101101110000
311220110201212000
410030203231300
5121010312010
610552534000
71513253244
oct414435560
9156421760
1070400880
1136815250
121b6b1300
131177c134
1494c8424
1562a97c0
hex4323b70

70400880 has 160 divisors (see below), whose sum is σ = 264625920. Its totient is φ = 17061120.

The previous prime is 70400873. The next prime is 70400887. The reversal of 70400880 is 8800407.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (70400873) and next prime (70400887).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70400887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22279 + ... + 25241.

It is an arithmetic number, because the mean of its divisors is an integer number (1653912).

Almost surely, 270400880 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 70400880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132312960).

70400880 is an abundant number, since it is smaller than the sum of its proper divisors (194225040).

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

70400880 is a wasteful number, since it uses less digits than its factorization.

70400880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2984 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 70400880 is about 8390.5232256397. The cubic root of 70400880 is about 412.9137666422.

The spelling of 70400880 in words is "seventy million, four hundred thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2963 2970 3960 4752 5926 5940 7920 8889 11852 11880 14815 17778 23704 23760 26667 29630 32593 35556 44445 47408 53334 59260 65186 71112 80001 88890 97779 106668 118520 130372 133335 142224 160002 162965 177780 195558 213336 237040 260744 266670 293337 320004 325930 355560 391116 400005 426672 488895 521488 533340 586674 640008 651860 711120 782232 800010 880011 977790 1066680 1173348 1280016 1303720 1466685 1564464 1600020 1760022 1955580 2133360 2346696 2607440 2933370 3200040 3520044 3911160 4400055 4693392 5866740 6400080 7040088 7822320 8800110 11733480 14080176 17600220 23466960 35200440 70400880