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147356040 = 233513591601
BaseRepresentation
bin10001100100001…
…11100110001000
3101021021110111010
420302013212020
5300210343130
622342203520
73436335306
oct1062074610
9337243433
10147356040
11761a6857
12414235a0
13246b4630
14157db276
15ce0b0b0
hex8c87988

147356040 has 128 divisors (see below), whose sum is σ = 484444800. Its totient is φ = 35635200.

The previous prime is 147356029. The next prime is 147356063. The reversal of 147356040 is 40653741.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 147355989 and 147356007.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 91240 + ... + 92840.

It is an arithmetic number, because the mean of its divisors is an integer number (3784725).

Almost surely, 2147356040 is an apocalyptic number.

147356040 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 147356040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242222400).

147356040 is an abundant number, since it is smaller than the sum of its proper divisors (337088760).

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

147356040 is a wasteful number, since it uses less digits than its factorization.

147356040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 147356040 is about 12139.0296152534. The cubic root of 147356040 is about 528.1889532627.

The spelling of 147356040 in words is "one hundred forty-seven million, three hundred fifty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 59 60 65 78 104 118 120 130 156 177 195 236 260 295 312 354 390 472 520 590 708 767 780 885 1180 1416 1534 1560 1601 1770 2301 2360 3068 3202 3540 3835 4602 4803 6136 6404 7080 7670 8005 9204 9606 11505 12808 15340 16010 18408 19212 20813 23010 24015 30680 32020 38424 41626 46020 48030 62439 64040 83252 92040 94459 96060 104065 124878 166504 188918 192120 208130 249756 283377 312195 377836 416260 472295 499512 566754 624390 755672 832520 944590 1133508 1227967 1248780 1416885 1889180 2267016 2455934 2497560 2833770 3683901 3778360 4911868 5667540 6139835 7367802 9823736 11335080 12279670 14735604 18419505 24559340 29471208 36839010 49118680 73678020 147356040