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151543040 = 2851147229
BaseRepresentation
bin10010000100001…
…01110100000000
3101120011011222012
421002011310000
5302243334130
623012032052
73520044305
oct1102056400
9346134865
10151543040
11785a6590
1242902628
132551c34c
14161ab0ac
15d486995
hex9085d00

151543040 has 144 divisors (see below), whose sum is σ = 406183680. Its totient is φ = 53698560.

The previous prime is 151543037. The next prime is 151543061. The reversal of 151543040 is 40345151.

It is a junction number, because it is equal to n+sod(n) for n = 151542997 and 151543015.

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, 661646 + ... + 661874.

It is an arithmetic number, because the mean of its divisors is an integer number (2820720).

Almost surely, 2151543040 is an apocalyptic number.

151543040 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 151543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203091840).

151543040 is an abundant number, since it is smaller than the sum of its proper divisors (254640640).

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

151543040 is a wasteful number, since it uses less digits than its factorization.

151543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 151543040 is about 12310.2818814193. The cubic root of 151543040 is about 533.1449890504.

Adding to 151543040 its reverse (40345151), we get a palindrome (191888191).

The spelling of 151543040 in words is "one hundred fifty-one million, five hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 47 55 64 80 88 94 110 128 160 176 188 220 229 235 256 320 352 376 440 458 470 517 640 704 752 880 916 940 1034 1145 1280 1408 1504 1760 1832 1880 2068 2290 2519 2585 2816 3008 3520 3664 3760 4136 4580 5038 5170 6016 7040 7328 7520 8272 9160 10076 10340 10763 12032 12595 14080 14656 15040 16544 18320 20152 20680 21526 25190 29312 30080 33088 36640 40304 41360 43052 50380 53815 58624 60160 66176 73280 80608 82720 86104 100760 107630 118393 132352 146560 161216 165440 172208 201520 215260 236786 293120 322432 330880 344416 403040 430520 473572 591965 644864 661760 688832 806080 861040 947144 1183930 1377664 1612160 1722080 1894288 2367860 2755328 3224320 3444160 3788576 4735720 6888320 7577152 9471440 13776640 15154304 18942880 30308608 37885760 75771520 151543040