Search a number
-
+
2970870 = 235724347
BaseRepresentation
bin1011010101010011110110
312120221021020
423111103312
51230031440
6143402010
734152300
oct13252366
95527236
102970870
11174a071
12bb3306
13800316
14574970
153da3d0
hex2d54f6

2970870 has 96 divisors (see below), whose sum is σ = 8667648. Its totient is φ = 649152.

The previous prime is 2970857. The next prime is 2970893. The reversal of 2970870 is 780792.

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 47 ways as a sum of consecutive naturals, for example, 63187 + ... + 63233.

It is an arithmetic number, because the mean of its divisors is an integer number (90288).

22970870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2970870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333824).

2970870 is an abundant number, since it is smaller than the sum of its proper divisors (5696778).

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

2970870 is a wasteful number, since it uses less digits than its factorization.

2970870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 2970870 is about 1723.6211880805. The cubic root of 2970870 is about 143.7566298139.

The spelling of 2970870 in words is "two million, nine hundred seventy thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 47 49 70 86 94 98 105 129 141 147 210 215 235 245 258 282 294 301 329 430 470 490 602 645 658 705 735 903 987 1290 1410 1470 1505 1645 1806 1974 2021 2107 2303 3010 3290 4042 4214 4515 4606 4935 6063 6321 6909 9030 9870 10105 10535 11515 12126 12642 13818 14147 20210 21070 23030 28294 30315 31605 34545 42441 60630 63210 69090 70735 84882 99029 141470 198058 212205 297087 424410 495145 594174 990290 1485435 2970870