Search a number
-
+
151496064 = 2732131507
BaseRepresentation
bin10010000011110…
…10010110000000
3101120001210112100
421001322112000
5302240333224
623011030400
73516460326
oct1101722600
9346053470
10151496064
1178574265
124289b400
1325503b55
1416197d16
15d477ac9
hex907a580

151496064 has 48 divisors (see below), whose sum is σ = 435949020. Its totient is φ = 50498304.

The previous prime is 151496053. The next prime is 151496071. The reversal of 151496064 is 460694151.

151496064 is a `hidden beast` number, since 1 + 5 + 1 + 49 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64602 + ... + 66905.

Almost surely, 2151496064 is an apocalyptic number.

It is an amenable number.

151496064 is an abundant number, since it is smaller than the sum of its proper divisors (284452956).

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

151496064 is a wasteful number, since it uses less digits than its factorization.

151496064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131527 (or 131512 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 151496064 is about 12308.3737349822. The cubic root of 151496064 is about 533.0898944553.

The spelling of 151496064 in words is "one hundred fifty-one million, four hundred ninety-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 131507 263014 394521 526028 789042 1052056 1183563 1578084 2104112 2367126 3156168 4208224 4734252 6312336 8416448 9468504 12624672 16832896 18937008 25249344 37874016 50498688 75748032 151496064