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147010464 = 2534431319
BaseRepresentation
bin10001100001100…
…11001110100000
3101020121220110000
420300303032200
5300113313324
622330540000
73433365636
oct1060631640
9336556400
10147010464
1175a90157
1241297600
13245c3253
141574b356
15cd8d9c9
hex8c333a0

147010464 has 120 divisors (see below), whose sum is σ = 442743840. Its totient is φ = 47827584.

The previous prime is 147010447. The next prime is 147010469. The reversal of 147010464 is 464010741.

It is a super-2 number, since 2×1470104642 = 43224153050990592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (147010469) 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 19 ways as a sum of consecutive naturals, for example, 110797 + ... + 112115.

It is an arithmetic number, because the mean of its divisors is an integer number (3689532).

Almost surely, 2147010464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147010464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221371920).

147010464 is an abundant number, since it is smaller than the sum of its proper divisors (295733376).

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

147010464 is a wasteful number, since it uses less digits than its factorization.

147010464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 147010464 is about 12124.7871733899. The cubic root of 147010464 is about 527.7757312013.

The spelling of 147010464 in words is "one hundred forty-seven million, ten thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 81 86 96 108 129 144 162 172 216 258 288 324 344 387 432 516 648 688 774 864 1032 1161 1296 1319 1376 1548 2064 2322 2592 2638 3096 3483 3957 4128 4644 5276 6192 6966 7914 9288 10552 11871 12384 13932 15828 18576 21104 23742 27864 31656 35613 37152 42208 47484 55728 56717 63312 71226 94968 106839 111456 113434 126624 142452 170151 189936 213678 226868 284904 340302 379872 427356 453736 510453 569808 680604 854712 907472 1020906 1139616 1361208 1531359 1709424 1814944 2041812 2722416 3062718 3418848 4083624 4594077 5444832 6125436 8167248 9188154 12250872 16334496 18376308 24501744 36752616 49003488 73505232 147010464