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82970460 = 22335153649
BaseRepresentation
bin1001111001000…
…00011101011100
312210010100002000
410330200131130
5132220023320
612122202300
72025144246
oct474403534
9183110060
1082970460
114291aa31
1223953390
1314260461
14b03b096
15743dc90
hex4f2075c

82970460 has 48 divisors (see below), whose sum is σ = 258132000. Its totient is φ = 22125312.

The previous prime is 82970449. The next prime is 82970467. The reversal of 82970460 is 6407928.

It is a super-2 number, since 2×829704602 = 13768194465223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82970467) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 76285 + ... + 77364.

It is an arithmetic number, because the mean of its divisors is an integer number (5377750).

Almost surely, 282970460 is an apocalyptic number.

It is an amenable number.

82970460 is an abundant number, since it is smaller than the sum of its proper divisors (175161540).

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

82970460 is a wasteful number, since it uses less digits than its factorization.

82970460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153667 (or 153659 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 82970460 is about 9108.8122167492. The cubic root of 82970460 is about 436.1553117811.

It can be divided in two parts, 829 and 70460, that added together give a square (71289 = 2672).

The spelling of 82970460 in words is "eighty-two million, nine hundred seventy thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 153649 307298 460947 614596 768245 921894 1382841 1536490 1843788 2304735 2765682 3072980 4148523 4609470 5531364 6914205 8297046 9218940 13828410 16594092 20742615 27656820 41485230 82970460