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2515052040 = 2335192294817
BaseRepresentation
bin1001010111101000…
…1010011000001000
320111021111212210120
42111322022120020
520122323131130
61053322143240
7116216406144
oct22572123010
96437455716
102515052040
111080754906
125a2351b20
1331109c697
1419c04c224
15eac00910
hex95e8a608

2515052040 has 128 divisors (see below), whose sum is σ = 7978608000. Its totient is φ = 632475648.

The previous prime is 2515052039. The next prime is 2515052051. The reversal of 2515052040 is 402505152.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2515052040.

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 31 ways as a sum of consecutive naturals, for example, 519712 + ... + 524528.

It is an arithmetic number, because the mean of its divisors is an integer number (62332875).

Almost surely, 22515052040 is an apocalyptic number.

2515052040 is a gapful number since it is divisible by the number (20) 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 2515052040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989304000).

2515052040 is an abundant number, since it is smaller than the sum of its proper divisors (5463555960).

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

2515052040 is a wasteful number, since it uses less digits than its factorization.

2515052040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5079 (or 5075 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 2515052040 is about 50150.2945155858. The cubic root of 2515052040 is about 1359.9271947762.

Adding to 2515052040 its reverse (402505152), we get a palindrome (2917557192).

The spelling of 2515052040 in words is "two billion, five hundred fifteen million, fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 229 285 380 456 458 570 687 760 916 1140 1145 1374 1832 2280 2290 2748 3435 4351 4580 4817 5496 6870 8702 9160 9634 13053 13740 14451 17404 19268 21755 24085 26106 27480 28902 34808 38536 43510 48170 52212 57804 65265 72255 87020 91523 96340 104424 115608 130530 144510 174040 183046 192680 261060 274569 289020 366092 457615 522120 549138 578040 732184 915230 1098276 1103093 1372845 1830460 2196552 2206186 2745690 3309279 3660920 4412372 5491380 5515465 6618558 8824744 10982760 11030930 13237116 16546395 20958767 22061860 26474232 33092790 41917534 44123720 62876301 66185580 83835068 104793835 125752602 132371160 167670136 209587670 251505204 314381505 419175340 503010408 628763010 838350680 1257526020 2515052040