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151021404 = 2232172310729
BaseRepresentation
bin10010000000001…
…10011101011100
3101112011200102100
421000012131130
5302130141104
622552525100
73512442432
oct1100063534
9345150370
10151021404
117827a686
12426b0790
1325398aa1
14160b2d52
15d3d2139
hex900675c

151021404 has 72 divisors (see below), whose sum is σ = 421817760. Its totient is φ = 45315072.

The previous prime is 151021391. The next prime is 151021439. The reversal of 151021404 is 404120151.

It is a super-3 number, since 3×1510214043 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8712 + ... + 19440.

It is an arithmetic number, because the mean of its divisors is an integer number (5858580).

Almost surely, 2151021404 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 151021404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210908880).

151021404 is an abundant number, since it is smaller than the sum of its proper divisors (270796356).

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

151021404 is a wasteful number, since it uses less digits than its factorization.

151021404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10779 (or 10774 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 151021404 is about 12289.0766129925. The cubic root of 151021404 is about 532.5325616536.

Adding to 151021404 its reverse (404120151), we get a palindrome (555141555).

The spelling of 151021404 in words is "one hundred fifty-one million, twenty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 204 207 276 306 391 414 612 782 828 1173 1564 2346 3519 4692 7038 10729 14076 21458 32187 42916 64374 96561 128748 182393 193122 246767 364786 386244 493534 547179 729572 740301 987068 1094358 1480602 1641537 2188716 2220903 2961204 3283074 4195039 4441806 6566148 8390078 8883612 12585117 16780156 25170234 37755351 50340468 75510702 151021404