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147182940 = 223351716033
BaseRepresentation
bin10001100010111…
…01010101011100
3101020221200001000
420301131111130
5300134323230
622334350300
73435014532
oct1061352534
9336850030
10147182940
11760987a3
124135b390
13246538c8
1415794152
15cdc4b60
hex8c5d55c

147182940 has 96 divisors (see below), whose sum is σ = 484868160. Its totient is φ = 36937728.

The previous prime is 147182921. The next prime is 147182951. The reversal of 147182940 is 49281741.

147182940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 147182895 and 147182904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1164 + ... + 17196.

It is an arithmetic number, because the mean of its divisors is an integer number (5050710).

Almost surely, 2147182940 is an apocalyptic number.

147182940 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 147182940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242434080).

147182940 is an abundant number, since it is smaller than the sum of its proper divisors (337685220).

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

147182940 is a wasteful number, since it uses less digits than its factorization.

147182940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16068 (or 16060 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 147182940 is about 12131.8976256808. The cubic root of 147182940 is about 527.9820500096.

The spelling of 147182940 in words is "one hundred forty-seven million, one hundred eighty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 16033 32066 48099 64132 80165 96198 144297 160330 192396 240495 272561 288594 320660 432891 480990 545122 577188 721485 817683 865782 961980 1090244 1362805 1442970 1635366 1731564 2164455 2453049 2725610 2885940 3270732 4088415 4328910 4906098 5451220 7359147 8176830 8657820 9812196 12265245 14718294 16353660 24530490 29436588 36795735 49060980 73591470 147182940