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70130424 = 233713163197
BaseRepresentation
bin1000010111000…
…01101011111000
311212221222212010
410023201223320
5120423133144
610543045520
71511045610
oct413415370
9155858763
1070130424
1136650031
121b5a08a0
13116b5cc0
149457a40
1562545b9
hex42e1af8

70130424 has 128 divisors (see below), whose sum is σ = 218211840. Its totient is φ = 18289152.

The previous prime is 70130413. The next prime is 70130449. The reversal of 70130424 is 42403107.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 70130424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355894 + ... + 356090.

It is an arithmetic number, because the mean of its divisors is an integer number (1704780).

Almost surely, 270130424 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 70130424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109105920).

70130424 is an abundant number, since it is smaller than the sum of its proper divisors (148081416).

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

70130424 is a wasteful number, since it uses less digits than its factorization.

70130424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 70130424 is about 8374.3909629298. The cubic root of 70130424 is about 412.3843304698.

It can be divided in two parts, 701 and 30424, that added together give a triangular number (31125 = T249).

The spelling of 70130424 in words is "seventy million, one hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 163 168 182 197 273 312 326 364 394 489 546 591 652 728 788 978 1092 1141 1182 1304 1379 1576 1956 2119 2184 2282 2364 2561 2758 3423 3912 4137 4238 4564 4728 5122 5516 6357 6846 7683 8274 8476 9128 10244 11032 12714 13692 14833 15366 16548 16952 17927 20488 25428 27384 29666 30732 32111 33096 35854 44499 50856 53781 59332 61464 64222 71708 88998 96333 107562 118664 128444 143416 177996 192666 215124 224777 256888 355992 385332 417443 430248 449554 674331 770664 834886 899108 1252329 1348662 1669772 1798216 2504658 2697324 2922101 3339544 5009316 5394648 5844202 8766303 10018632 11688404 17532606 23376808 35065212 70130424