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2957130 = 23251129103
BaseRepresentation
bin1011010001111101001010
312120020102100
423101331022
51224112010
6143214230
734064241
oct13217512
95506370
102957130
11173a810
12ba7376
137c6ca7
1456d958
153d62c0
hex2d1f4a

2957130 has 96 divisors (see below), whose sum is σ = 8760960. Its totient is φ = 685440.

The previous prime is 2957111. The next prime is 2957161. The reversal of 2957130 is 317592.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2957094 and 2957103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28659 + ... + 28761.

It is an arithmetic number, because the mean of its divisors is an integer number (91260).

22957130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2957130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4380480).

2957130 is an abundant number, since it is smaller than the sum of its proper divisors (5803830).

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

2957130 is a wasteful number, since it uses less digits than its factorization.

2957130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 2957130 is about 1719.6307743234. The cubic root of 2957130 is about 143.5346668866.

The spelling of 2957130 in words is "two million, nine hundred fifty-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 29 30 33 45 55 58 66 87 90 99 103 110 145 165 174 198 206 261 290 309 319 330 435 495 515 522 618 638 870 927 957 990 1030 1133 1305 1545 1595 1854 1914 2266 2610 2871 2987 3090 3190 3399 4635 4785 5665 5742 5974 6798 8961 9270 9570 10197 11330 14355 14935 16995 17922 20394 26883 28710 29870 32857 33990 44805 50985 53766 65714 89610 98571 101970 134415 164285 197142 268830 295713 328570 492855 591426 985710 1478565 2957130