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147182420 = 225711313083
BaseRepresentation
bin10001100010111…
…01001101010100
3101020221122022202
420301131031110
5300134314140
622334344032
73435013160
oct1061351524
9336848282
10147182420
1176098370
124135b018
13246535b8
1415793ca0
15cdc4915
hex8c5d354

147182420 has 96 divisors (see below), whose sum is σ = 397910016. Its totient is φ = 44380800.

The previous prime is 147182419. The next prime is 147182423. The reversal of 147182420 is 24281741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147182423) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 46199 + ... + 49281.

It is an arithmetic number, because the mean of its divisors is an integer number (4144896).

Almost surely, 2147182420 is an apocalyptic number.

147182420 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 147182420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198955008).

147182420 is an abundant number, since it is smaller than the sum of its proper divisors (250727596).

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

147182420 is a wasteful number, since it uses less digits than its factorization.

147182420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 147182420 is about 12131.8761945546. The cubic root of 147182420 is about 527.9814282188.

The spelling of 147182420 in words is "one hundred forty-seven million, one hundred eighty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 31 35 44 55 62 70 77 110 124 140 154 155 217 220 308 310 341 385 434 620 682 770 868 1085 1364 1540 1705 2170 2387 3083 3410 4340 4774 6166 6820 9548 11935 12332 15415 21581 23870 30830 33913 43162 47740 61660 67826 86324 95573 107905 135652 169565 191146 215810 237391 339130 382292 431620 474782 477865 669011 678260 949564 955730 1051303 1186955 1338022 1911460 2102606 2373910 2676044 3345055 4205212 4747820 5256515 6690110 7359121 10513030 13380220 14718242 21026060 29436484 36795605 73591210 147182420