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151535540 = 225132107419
BaseRepresentation
bin10010000100000…
…11111110110100
3101120010210200102
421002003332310
5302243114130
623011533232
73520013402
oct1102037664
9346123612
10151535540
11785a0992
12428ba218
1325518b00
14161a8472
15d484645
hex9083fb4

151535540 has 72 divisors (see below), whose sum is σ = 348636960. Its totient is φ = 55296384.

The previous prime is 151535537. The next prime is 151535551. The reversal of 151535540 is 45535151.

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, 361451 + ... + 361869.

It is an arithmetic number, because the mean of its divisors is an integer number (4842180).

Almost surely, 2151535540 is an apocalyptic number.

151535540 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 151535540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174318480).

151535540 is an abundant number, since it is smaller than the sum of its proper divisors (197101420).

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

151535540 is a wasteful number, since it uses less digits than its factorization.

151535540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 29.

The square root of 151535540 is about 12309.9772542438. The cubic root of 151535540 is about 533.1361936319.

The spelling of 151535540 in words is "one hundred fifty-one million, five hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 107 130 169 214 260 338 419 428 535 676 838 845 1070 1391 1676 1690 2095 2140 2782 3380 4190 5447 5564 6955 8380 10894 13910 18083 21788 27235 27820 36166 44833 54470 70811 72332 89666 90415 108940 141622 179332 180830 224165 283244 354055 361660 448330 582829 708110 896660 1165658 1416220 2331316 2914145 5828290 7576777 11656580 15153554 30307108 37883885 75767770 151535540