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150553020 = 223517672203
BaseRepresentation
bin10001111100101…
…00000110111100
3101111021212220210
420332110012330
5302020144040
622534512420
73505452042
oct1076240674
9344255823
10150553020
1177a8a792
1242505710
1325263837
1415dd0392
15d33d480
hex8f941bc

150553020 has 96 divisors (see below), whose sum is σ = 453212928. Its totient is φ = 37204992.

The previous prime is 150553001. The next prime is 150553043. The reversal of 150553020 is 20355051.

150553020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1505530202 = 45332423662240800, which contains 22 as substring.

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, 67239 + ... + 69441.

It is an arithmetic number, because the mean of its divisors is an integer number (4720968).

Almost surely, 2150553020 is an apocalyptic number.

150553020 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 150553020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226606464).

150553020 is an abundant number, since it is smaller than the sum of its proper divisors (302659908).

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

150553020 is a wasteful number, since it uses less digits than its factorization.

150553020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 150553020 is about 12270.0048899746. The cubic root of 150553020 is about 531.9814520452.

The spelling of 150553020 in words is "one hundred fifty million, five hundred fifty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 67 68 85 102 134 170 201 204 255 268 335 340 402 510 670 804 1005 1020 1139 1340 2010 2203 2278 3417 4020 4406 4556 5695 6609 6834 8812 11015 11390 13218 13668 17085 22030 22780 26436 33045 34170 37451 44060 66090 68340 74902 112353 132180 147601 149804 187255 224706 295202 374510 442803 449412 561765 590404 738005 749020 885606 1123530 1476010 1771212 2214015 2247060 2509217 2952020 4428030 5018434 7527651 8856060 10036868 12546085 15055302 25092170 30110604 37638255 50184340 75276510 150553020