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147681440 = 2551675527
BaseRepresentation
bin10001100110101…
…11000010100000
3101021212222211222
420303113002200
5300301301230
622353154212
73442162064
oct1063270240
9337788758
10147681440
11763a9285
124155b968
132479978a
1415883aa4
15ce726e5
hex8cd70a0

147681440 has 48 divisors (see below), whose sum is σ = 351050112. Its totient is φ = 58708224.

The previous prime is 147681437. The next prime is 147681449. The reversal of 147681440 is 44186741.

It is a self number, because there is not a number n which added to its sum of digits gives 147681440.

It is not an unprimeable number, because it can be changed into a prime (147681449) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 23957 + ... + 29483.

It is an arithmetic number, because the mean of its divisors is an integer number (7313544).

Almost surely, 2147681440 is an apocalyptic number.

147681440 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 147681440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175525056).

147681440 is an abundant number, since it is smaller than the sum of its proper divisors (203368672).

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

147681440 is a wasteful number, since it uses less digits than its factorization.

147681440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5709 (or 5701 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 147681440 is about 12152.4252723479. The cubic root of 147681440 is about 528.5774597385.

The spelling of 147681440 in words is "one hundred forty-seven million, six hundred eighty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 167 334 668 835 1336 1670 2672 3340 5344 5527 6680 11054 13360 22108 26720 27635 44216 55270 88432 110540 176864 221080 442160 884320 923009 1846018 3692036 4615045 7384072 9230090 14768144 18460180 29536288 36920360 73840720 147681440