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272195406 = 232719671697
BaseRepresentation
bin10000001110010…
…101111101001110
3200222011221220100
4100032111331032
51024140223111
643002031530
76513423420
oct2016257516
9628157810
10272195406
1112a71348a
12771a85a6
1344514192
1428216810
1518d6a756
hex10395f4e

272195406 has 96 divisors (see below), whose sum is σ = 720495360. Its totient is φ = 72534528.

The previous prime is 272195383. The next prime is 272195411. The reversal of 272195406 is 604591272.

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, 159550 + ... + 161246.

It is an arithmetic number, because the mean of its divisors is an integer number (7505160).

Almost surely, 2272195406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272195406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360247680).

272195406 is an abundant number, since it is smaller than the sum of its proper divisors (448299954).

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

272195406 is a wasteful number, since it uses less digits than its factorization.

272195406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 272195406 is about 16498.3455534184. The cubic root of 272195406 is about 648.0774798759.

The spelling of 272195406 in words is "two hundred seventy-two million, one hundred ninety-five thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 67 114 126 133 134 171 201 266 342 399 402 469 603 798 938 1197 1206 1273 1407 1697 2394 2546 2814 3394 3819 4221 5091 7638 8442 8911 10182 11457 11879 15273 17822 22914 23758 26733 30546 32243 35637 53466 64486 71274 80199 96729 106911 113699 160398 193458 213822 225701 227398 290187 341097 451402 580374 677103 682194 795893 1023291 1354206 1591786 2031309 2046582 2160281 2387679 4062618 4320562 4775358 6480843 7163037 12961686 14326074 15121967 19442529 30243934 38885058 45365901 90731802 136097703 272195406