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70399920 = 24351971489
BaseRepresentation
bin1000011001000…
…11011110110000
311220110200112110
410030203132300
5121010244140
610552525320
71513250403
oct414433660
9156420473
1070399920
1136814558
121b6b0840
131177b876
1494c7d3a
1562a9380
hex43237b0

70399920 has 80 divisors (see below), whose sum is σ = 219494880. Its totient is φ = 18665472.

The previous prime is 70399913. The next prime is 70399933. The reversal of 70399920 is 2999307.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×703999202 = 9912297472012800, which contains 22 as substring.

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, 46536 + ... + 48024.

It is an arithmetic number, because the mean of its divisors is an integer number (2743686).

Almost surely, 270399920 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 70399920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109747440).

70399920 is an abundant number, since it is smaller than the sum of its proper divisors (149094960).

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

70399920 is a wasteful number, since it uses less digits than its factorization.

70399920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 39.

The square root of 70399920 is about 8390.4660180469. The cubic root of 70399920 is about 412.9118897764.

The spelling of 70399920 in words is "seventy million, three hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 197 240 394 591 788 985 1182 1489 1576 1970 2364 2955 2978 3152 3940 4467 4728 5910 5956 7445 7880 8934 9456 11820 11912 14890 15760 17868 22335 23640 23824 29780 35736 44670 47280 59560 71472 89340 119120 178680 293333 357360 586666 879999 1173332 1466665 1759998 2346664 2933330 3519996 4399995 4693328 5866660 7039992 8799990 11733320 14079984 17599980 23466640 35199960 70399920