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146240276 = 22713412239
BaseRepresentation
bin10001011011101…
…11001100010100
3101012011202221112
420231313030110
5244414142101
622302234152
73424010330
oct1055671424
9335152845
10146240276
1175604536
1240b85958
13243b3810
14155ca7c0
15cc8a6bb
hex8b77314

146240276 has 72 divisors (see below), whose sum is σ = 324199680. Its totient is φ = 56206080.

The previous prime is 146240267. The next prime is 146240309. The reversal of 146240276 is 672042641.

146240276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 611765 + ... + 612003.

Almost surely, 2146240276 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 146240276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162099840).

146240276 is an abundant number, since it is smaller than the sum of its proper divisors (177959404).

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

146240276 is a wasteful number, since it uses less digits than its factorization.

146240276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 146240276 is about 12092.9845778451. The cubic root of 146240276 is about 526.8524443860.

The spelling of 146240276 in words is "one hundred forty-six million, two hundred forty thousand, two hundred seventy-six".

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 164 182 239 287 364 478 533 574 956 1066 1148 1673 1681 2132 3107 3346 3362 3731 6214 6692 6724 7462 9799 11767 12428 14924 19598 21749 21853 23534 39196 43498 43706 47068 68593 86996 87412 127387 137186 152971 254774 274372 305942 401759 509548 611884 803518 891709 1607036 1783418 2812313 3566836 5222867 5624626 10445734 11249252 20891468 36560069 73120138 146240276