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152196840 = 23335197417
BaseRepresentation
bin10010001001001…
…01011011101000
3101121101101211000
421010211123220
5302430244330
623034035000
73525436365
oct1104453350
9347341730
10152196840
1178a02814
1242b78a60
13256bab03
14162db46c
15d565560
hex91256e8

152196840 has 128 divisors (see below), whose sum is σ = 534096000. Its totient is φ = 38444544.

The previous prime is 152196839. The next prime is 152196929. The reversal of 152196840 is 48691251.

152196840 is a `hidden beast` number, since 1 + 521 + 96 + 8 + 40 = 666.

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 = 152196795 and 152196804.

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, 16812 + ... + 24228.

It is an arithmetic number, because the mean of its divisors is an integer number (4172625).

Almost surely, 2152196840 is an apocalyptic number.

152196840 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 152196840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267048000).

152196840 is an abundant number, since it is smaller than the sum of its proper divisors (381899160).

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

152196840 is a wasteful number, since it uses less digits than its factorization.

152196840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7456 (or 7446 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 152196840 is about 12336.8083392748. The cubic root of 152196840 is about 533.9106023810.

The spelling of 152196840 in words is "one hundred fifty-two million, one hundred ninety-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 3420 4104 5130 6840 7417 10260 14834 20520 22251 29668 37085 44502 59336 66753 74170 89004 111255 133506 140923 148340 178008 200259 222510 267012 281846 296680 333765 400518 422769 445020 534024 563692 667530 704615 801036 845538 890040 1001295 1127384 1268307 1335060 1409230 1602072 1691076 2002590 2113845 2536614 2670120 2818460 3382152 3804921 4005180 4227690 5073228 5636920 6341535 7609842 8010360 8455380 10146456 12683070 15219684 16910760 19024605 25366140 30439368 38049210 50732280 76098420 152196840