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456106134 = 231119557653
BaseRepresentation
bin11011001011111…
…010000010010110
31011210020120222210
4123023322002112
51413230344014
6113131534250
714205560331
oct3313720226
91153216883
10456106134
11214507320
121088ba386
13736570b3
144480b618
152a097859
hex1b2fa096

456106134 has 64 divisors (see below), whose sum is σ = 1051004160. Its totient is φ = 130504320.

The previous prime is 456106129. The next prime is 456106151. The reversal of 456106134 is 431601654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698152 + ... + 698804.

It is an arithmetic number, because the mean of its divisors is an integer number (16421940).

Almost surely, 2456106134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456106134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525502080).

456106134 is an abundant number, since it is smaller than the sum of its proper divisors (594898026).

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

456106134 is a wasteful number, since it uses less digits than its factorization.

456106134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 456106134 is about 21356.6414494414. The cubic root of 456106134 is about 769.7599375322.

Adding to 456106134 its reverse (431601654), we get a palindrome (887707788).

The spelling of 456106134 in words is "four hundred fifty-six million, one hundred six thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 557 627 653 1114 1254 1306 1671 1959 3342 3918 6127 7183 10583 12254 12407 14366 18381 21166 21549 24814 31749 36762 37221 43098 63498 74442 116413 136477 232826 272954 349239 363721 409431 698478 727442 818862 1091163 2182326 4000931 6910699 8001862 12002793 13821398 20732097 24005586 41464194 76017689 152035378 228053067 456106134