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154820064 = 2537230387
BaseRepresentation
bin10010011101001…
…01110111100000
3101210022200012110
421032211313200
5304113220224
623210155320
73556643310
oct1116456740
9353280173
10154820064
117a434673
1243a22b40
13260c8b09
14167c1440
15d8d2929
hex93a5de0

154820064 has 48 divisors (see below), whose sum is σ = 464462208. Its totient is φ = 44234112.

The previous prime is 154820053. The next prime is 154820069. The reversal of 154820064 is 460028451.

154820064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154820069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114522 + ... + 115865.

It is an arithmetic number, because the mean of its divisors is an integer number (9676296).

Almost surely, 2154820064 is an apocalyptic number.

154820064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

154820064 is an abundant number, since it is smaller than the sum of its proper divisors (309642144).

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

154820064 is a wasteful number, since it uses less digits than its factorization.

154820064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230407 (or 230399 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 154820064 is about 12442.6710958701. The cubic root of 154820064 is about 536.9605927339.

It can be divided in two parts, 1548 and 20064, that added together give a palindrome (21612).

The spelling of 154820064 in words is "one hundred fifty-four million, eight hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 230387 460774 691161 921548 1382322 1612709 1843096 2764644 3225418 3686192 4838127 5529288 6450836 7372384 9676254 11058576 12901672 19352508 22117152 25803344 38705016 51606688 77410032 154820064