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151141680 = 24335167419
BaseRepresentation
bin10010000001000…
…11110100110000
3101112101210102000
421000203310300
5302143013210
622555254000
73513453204
oct1100436460
9345353360
10151141680
1178351a88
124274a300
132540b761
1416104b04
15d407ac0
hex9023d30

151141680 has 160 divisors (see below), whose sum is σ = 524966400. Its totient is φ = 39967488.

The previous prime is 151141663. The next prime is 151141687. The reversal of 151141680 is 86141151.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (151141687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360511 + ... + 360929.

It is an arithmetic number, because the mean of its divisors is an integer number (3281040).

Almost surely, 2151141680 is an apocalyptic number.

151141680 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 151141680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262483200).

151141680 is an abundant number, since it is smaller than the sum of its proper divisors (373824720).

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

151141680 is a wasteful number, since it uses less digits than its factorization.

151141680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 151141680 is about 12293.9692532558. The cubic root of 151141680 is about 532.6738967856.

The spelling of 151141680 in words is "one hundred fifty-one million, one hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 167 180 216 240 270 334 360 419 432 501 540 668 720 835 838 1002 1080 1257 1336 1503 1670 1676 2004 2095 2160 2505 2514 2672 3006 3340 3352 3771 4008 4190 4509 5010 5028 6012 6285 6680 6704 7515 7542 8016 8380 9018 10020 10056 11313 12024 12570 13360 15030 15084 16760 18036 18855 20040 20112 22545 22626 24048 25140 30060 30168 33520 36072 37710 40080 45090 45252 50280 56565 60120 60336 69973 72144 75420 90180 90504 100560 113130 120240 139946 150840 180360 181008 209919 226260 279892 301680 349865 360720 419838 452520 559784 629757 699730 839676 905040 1049595 1119568 1259514 1399460 1679352 1889271 2099190 2519028 2798920 3148785 3358704 3778542 4198380 5038056 5597840 6297570 7557084 8396760 9446355 10076112 12595140 15114168 16793520 18892710 25190280 30228336 37785420 50380560 75570840 151141680