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147714768 = 24321783727
BaseRepresentation
bin10001100110111…
…11001011010000
3101021221200120100
420303133023100
5300303333033
622354012400
73442361205
oct1063371320
9337850510
10147714768
1176421323
1241577100
13247ab9b6
1415891cac
15ce7c513
hex8cdf2d0

147714768 has 120 divisors (see below), whose sum is σ = 443596608. Its totient is φ = 45720576.

The previous prime is 147714757. The next prime is 147714769. The reversal of 147714768 is 867417741.

147714768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147714769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202821 + ... + 203547.

Almost surely, 2147714768 is an apocalyptic number.

147714768 is a gapful number since it is divisible by the number (18) 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 147714768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221798304).

147714768 is an abundant number, since it is smaller than the sum of its proper divisors (295881840).

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

147714768 is a wasteful number, since it uses less digits than its factorization.

147714768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 832 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The square root of 147714768 is about 12153.7964439100. The cubic root of 147714768 is about 528.6172189764.

The spelling of 147714768 in words is "one hundred forty-seven million, seven hundred fourteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 83 102 136 144 153 166 204 249 272 306 332 408 498 612 664 727 747 816 996 1224 1328 1411 1454 1494 1992 2181 2448 2822 2908 2988 3984 4233 4362 5644 5816 5976 6543 8466 8724 11288 11632 11952 12359 12699 13086 16932 17448 22576 24718 25398 26172 33864 34896 37077 49436 50796 52344 60341 67728 74154 98872 101592 104688 111231 120682 148308 181023 197744 203184 222462 241364 296616 362046 444924 482728 543069 593232 724092 889848 965456 1025797 1086138 1448184 1779696 2051594 2172276 2896368 3077391 4103188 4344552 6154782 8206376 8689104 9232173 12309564 16412752 18464346 24619128 36928692 49238256 73857384 147714768