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407060704 = 2529431012
BaseRepresentation
bin11000010000110…
…100000011100000
31001100221211022101
4120100310003200
51313201420304
6104220420144
713041646621
oct3020640340
91040854271
10407060704
11199858806
12b43a7654
136644432b
143c0c1a48
1525b0a8a4
hex184340e0

407060704 has 72 divisors (see below), whose sum is σ = 856797480. Its totient is φ = 190041600.

The previous prime is 407060701. The next prime is 407060729.

407060704 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407060701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4030254 + ... + 4030354.

It is an arithmetic number, because the mean of its divisors is an integer number (11899965).

Almost surely, 2407060704 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 407060704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428398740).

407060704 is an abundant number, since it is smaller than the sum of its proper divisors (449736776).

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

407060704 is a wasteful number, since it uses less digits than its factorization.

407060704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 407060704 is about 20175.7454385210. The cubic root of 407060704 is about 741.1163476829.

The spelling of 407060704 in words is "four hundred seven million, sixty thousand, seven hundred four".

Divisors: 1 2 4 8 16 29 32 43 58 86 101 116 172 202 232 344 404 464 688 808 928 1247 1376 1616 2494 2929 3232 4343 4988 5858 8686 9976 10201 11716 17372 19952 20402 23432 34744 39904 40804 46864 69488 81608 93728 125947 138976 163216 251894 295829 326432 438643 503788 591658 877286 1007576 1183316 1754572 2015152 2366632 3509144 4030304 4733264 7018288 9466528 12720647 14036576 25441294 50882588 101765176 203530352 407060704