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147086940 = 2235711133179
BaseRepresentation
bin10001100010001…
…01111001011100
3101020202210100110
420301011321130
5300123240230
622332330020
73434134620
oct1061057134
9336683313
10147086940
1176032660
1241313910
132461bcc0
141576b180
15cda64b0
hex8c45e5c

147086940 has 384 divisors, whose sum is σ = 578027520. Its totient is φ = 26956800.

The previous prime is 147086911. The next prime is 147086957. The reversal of 147086940 is 49680741.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1861821 + ... + 1861899.

It is an arithmetic number, because the mean of its divisors is an integer number (1505280).

Almost surely, 2147086940 is an apocalyptic number.

147086940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147086940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289013760).

147086940 is an abundant number, since it is smaller than the sum of its proper divisors (430940580).

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

147086940 is a wasteful number, since it uses less digits than its factorization.

147086940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 147086940 is about 12127.9404681916. The cubic root of 147086940 is about 527.8672330323.

It can be divided in two parts, 1470 and 86940, that added together give a triangular number (88410 = T420).

The spelling of 147086940 in words is "one hundred forty-seven million, eighty-six thousand, nine hundred forty".