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413756070 = 235713314889
BaseRepresentation
bin11000101010010…
…110101010100110
31001211112222121220
4120222112222212
51321410143240
6105020121210
713152603630
oct3052265246
91054488556
10413756070
111a2611072
12b6696206
13679499a0
143cd45a50
15264ce5d0
hex18a96aa6

413756070 has 128 divisors (see below), whose sum is σ = 1261854720. Its totient is φ = 84464640.

The previous prime is 413756059. The next prime is 413756099. The reversal of 413756070 is 70657314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82186 + ... + 87074.

It is an arithmetic number, because the mean of its divisors is an integer number (9858240).

Almost surely, 2413756070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413756070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630927360).

413756070 is an abundant number, since it is smaller than the sum of its proper divisors (848098650).

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

413756070 is a wasteful number, since it uses less digits than its factorization.

413756070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4950.

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 413756070 is about 20340.9948134303. The cubic root of 413756070 is about 745.1575841898.

The spelling of 413756070 in words is "four hundred thirteen million, seven hundred fifty-six thousand, seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 31 35 39 42 62 65 70 78 91 93 105 130 155 182 186 195 210 217 273 310 390 403 434 455 465 546 651 806 910 930 1085 1209 1302 1365 2015 2170 2418 2730 2821 3255 4030 4889 5642 6045 6510 8463 9778 12090 14105 14667 16926 24445 28210 29334 34223 42315 48890 63557 68446 73335 84630 102669 127114 146670 151559 171115 190671 205338 303118 317785 342230 381342 444899 454677 513345 635570 757795 889798 909354 953355 1026690 1060913 1334697 1515590 1906710 1970267 2121826 2224495 2273385 2669394 3182739 3940534 4448990 4546770 5304565 5910801 6365478 6673485 9851335 10609130 11821602 13346970 13791869 15913695 19702670 27583738 29554005 31827390 41375607 59108010 68959345 82751214 137918690 206878035 413756070