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150472320 = 2735109719
BaseRepresentation
bin10001111100000…
…00011010000000
3101111010210012220
420332000122000
5302010103240
622533051040
73504664545
oct1076003200
9344123186
10150472320
1177a35099
1242486a80
1325235b9b
1415dacbcc
15d3245d0
hex8f80680

150472320 has 128 divisors (see below), whose sum is σ = 484704000. Its totient is φ = 39702528.

The previous prime is 150472313. The next prime is 150472331. The reversal of 150472320 is 23274051.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208921 + ... + 209639.

It is an arithmetic number, because the mean of its divisors is an integer number (3786750).

Almost surely, 2150472320 is an apocalyptic number.

150472320 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 150472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242352000).

150472320 is an abundant number, since it is smaller than the sum of its proper divisors (334231680).

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

150472320 is a wasteful number, since it uses less digits than its factorization.

150472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 150472320 is about 12266.7159419300. The cubic root of 150472320 is about 531.8863834859.

The spelling of 150472320 in words is "one hundred fifty million, four hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 109 120 128 160 192 218 240 320 327 384 436 480 545 640 654 719 872 960 1090 1308 1438 1635 1744 1920 2157 2180 2616 2876 3270 3488 3595 4314 4360 5232 5752 6540 6976 7190 8628 8720 10464 10785 11504 13080 13952 14380 17256 17440 20928 21570 23008 26160 28760 34512 34880 41856 43140 46016 52320 57520 69024 69760 78371 86280 92032 104640 115040 138048 156742 172560 209280 230080 235113 276096 313484 345120 391855 460160 470226 626968 690240 783710 940452 1175565 1253936 1380480 1567420 1880904 2351130 2507872 3134840 3761808 4702260 5015744 6269680 7523616 9404520 10031488 12539360 15047232 18809040 25078720 30094464 37618080 50157440 75236160 150472320