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150660960 = 25352811117
BaseRepresentation
bin10001111101011…
…10011101100000
3101111111100222120
420332232131200
5302032122320
622541104240
73506411532
oct1076563540
9344440876
10150660960
117805389a
1242558080
13252a09c8
141601b852
15d360440
hex8fae760

150660960 has 96 divisors (see below), whose sum is σ = 476697312. Its totient is φ = 39997440.

The previous prime is 150660959. The next prime is 150661001. The reversal of 150660960 is 69066051.

It is a tau number, because it is divible by the number of its divisors (96).

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, 134322 + ... + 135438.

It is an arithmetic number, because the mean of its divisors is an integer number (4965597).

Almost surely, 2150660960 is an apocalyptic number.

150660960 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 150660960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238348656).

150660960 is an abundant number, since it is smaller than the sum of its proper divisors (326036352).

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

150660960 is a wasteful number, since it uses less digits than its factorization.

150660960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 150660960 is about 12274.4026331223. The cubic root of 150660960 is about 532.1085575667.

The spelling of 150660960 in words is "one hundred fifty million, six hundred sixty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 281 480 562 843 1117 1124 1405 1686 2234 2248 2810 3351 3372 4215 4468 4496 5585 5620 6702 6744 8430 8936 8992 11170 11240 13404 13488 16755 16860 17872 22340 22480 26808 26976 33510 33720 35744 44680 44960 53616 67020 67440 89360 107232 134040 134880 178720 268080 313877 536160 627754 941631 1255508 1569385 1883262 2511016 3138770 3766524 4708155 5022032 6277540 7533048 9416310 10044064 12555080 15066096 18832620 25110160 30132192 37665240 50220320 75330480 150660960