Search a number
-
+
70192440 = 23335103631
BaseRepresentation
bin1000010111100…
…00110100111000
311220002010221000
410023300310320
5120432124230
610544245000
71511424453
oct413606470
9156063830
1070192440
113669268a
121b610760
13117082b6
14947249a
156267b60
hex42f0d38

70192440 has 128 divisors (see below), whose sum is σ = 236620800. Its totient is φ = 18506880.

The previous prime is 70192433. The next prime is 70192457. The reversal of 70192440 is 4429107.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110925 + ... + 111555.

It is an arithmetic number, because the mean of its divisors is an integer number (1848600).

Almost surely, 270192440 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 70192440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118310400).

70192440 is an abundant number, since it is smaller than the sum of its proper divisors (166428360).

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

70192440 is a wasteful number, since it uses less digits than its factorization.

70192440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 70192440 is about 8378.0928617437. The cubic root of 70192440 is about 412.5058511567.

It can be divided in two parts, 70 and 192440, that added together give a triangular number (192510 = T620).

The spelling of 70192440 in words is "seventy million, one hundred ninety-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 103 108 120 135 180 206 216 270 309 360 412 515 540 618 631 824 927 1030 1080 1236 1262 1545 1854 1893 2060 2472 2524 2781 3090 3155 3708 3786 4120 4635 5048 5562 5679 6180 6310 7416 7572 9270 9465 11124 11358 12360 12620 13905 15144 17037 18540 18930 22248 22716 25240 27810 28395 34074 37080 37860 45432 55620 56790 64993 68148 75720 85185 111240 113580 129986 136296 170370 194979 227160 259972 324965 340740 389958 519944 584937 649930 681480 779916 974895 1169874 1299860 1559832 1754811 1949790 2339748 2599720 2924685 3509622 3899580 4679496 5849370 7019244 7799160 8774055 11698740 14038488 17548110 23397480 35096220 70192440