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150248160 = 253251031013
BaseRepresentation
bin10001111010010…
…01101011100000
3101110201101201200
420331021223200
5301430420120
622524201200
73503042166
oct1075115340
9343641650
10150248160
11778a1737
1242399200
1325187b4a
1415d51236
15d2cce90
hex8f49ae0

150248160 has 144 divisors (see below), whose sum is σ = 518210784. Its totient is φ = 39638016.

The previous prime is 150248129. The next prime is 150248183. The reversal of 150248160 is 61842051.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147814 + ... + 148826.

It is an arithmetic number, because the mean of its divisors is an integer number (3598686).

Almost surely, 2150248160 is an apocalyptic number.

150248160 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 150248160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259105392).

150248160 is an abundant number, since it is smaller than the sum of its proper divisors (367962624).

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

150248160 is a wasteful number, since it uses less digits than its factorization.

150248160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 150248160 is about 12257.5756167360. The cubic root of 150248160 is about 531.6221335437.

The spelling of 150248160 in words is "one hundred fifty million, two hundred forty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 103 120 144 160 180 206 240 288 309 360 412 480 515 618 720 824 927 1013 1030 1236 1440 1545 1648 1854 2026 2060 2472 3039 3090 3296 3708 4052 4120 4635 4944 5065 6078 6180 7416 8104 8240 9117 9270 9888 10130 12156 12360 14832 15195 16208 16480 18234 18540 20260 24312 24720 29664 30390 32416 36468 37080 40520 45585 48624 49440 60780 72936 74160 81040 91170 97248 104339 121560 145872 148320 162080 182340 208678 243120 291744 313017 364680 417356 486240 521695 626034 729360 834712 939051 1043390 1252068 1458720 1565085 1669424 1878102 2086780 2504136 3130170 3338848 3756204 4173560 4695255 5008272 6260340 7512408 8347120 9390510 10016544 12520680 15024816 16694240 18781020 25041360 30049632 37562040 50082720 75124080 150248160