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151770960 = 243251119163
BaseRepresentation
bin10010000101111…
…01011101010000
3101120120202121200
421002331131100
5302323132320
623020551200
73522013635
oct1102753520
9346522550
10151770960
1178741850
12429b2500
132559c003
141622a18c
15d4ce290
hex90bd750

151770960 has 120 divisors (see below), whose sum is σ = 556062624. Its totient is φ = 36791040.

The previous prime is 151770911. The next prime is 151770961. The reversal of 151770960 is 69077151.

151770960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151770961) by changing a digit.

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, 1662 + ... + 17501.

Almost surely, 2151770960 is an apocalyptic number.

151770960 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 151770960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278031312).

151770960 is an abundant number, since it is smaller than the sum of its proper divisors (404291664).

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

151770960 is a wasteful number, since it uses less digits than its factorization.

151770960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19193 (or 19184 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 151770960 is about 12319.5357055370. The cubic root of 151770960 is about 533.4121376610.

The spelling of 151770960 in words is "one hundred fifty-one million, seven hundred seventy thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 19163 38326 57489 76652 95815 114978 153304 172467 191630 210793 229956 287445 306608 344934 383260 421586 459912 574890 632379 689868 766520 843172 862335 919824 1053965 1149780 1264758 1379736 1533040 1686344 1724670 1897137 2107930 2299560 2529516 2759472 3161895 3372688 3449340 3794274 4215860 4599120 5059032 6323790 6898680 7588548 8431720 9485685 10118064 12647580 13797360 15177096 16863440 18971370 25295160 30354192 37942740 50590320 75885480 151770960