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2010032040 = 2335191675279
BaseRepresentation
bin111011111001110…
…1010011110101000
312012002020012121010
41313303222132220
513104032011130
6531241543520
7100544663502
oct16763523650
95162205533
102010032040
11941679905
124811a4ba0
1326057a693
14150d4ad72
15bb6e50b0
hex77cea7a8

2010032040 has 128 divisors (see below), whose sum is σ = 6386688000. Its totient is φ = 504661248.

The previous prime is 2010032029. The next prime is 2010032053. The reversal of 2010032040 is 402300102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378121 + ... + 383399.

It is an arithmetic number, because the mean of its divisors is an integer number (49896000).

Almost surely, 22010032040 is an apocalyptic number.

2010032040 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 2010032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193344000).

2010032040 is an abundant number, since it is smaller than the sum of its proper divisors (4376655960).

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

2010032040 is a wasteful number, since it uses less digits than its factorization.

2010032040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5479 (or 5475 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2010032040 is about 44833.3808673850. The cubic root of 2010032040 is about 1262.0241338292.

Adding to 2010032040 its reverse (402300102), we get a palindrome (2412332142).

The spelling of 2010032040 in words is "two billion, ten million, thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 167 190 228 285 334 380 456 501 570 668 760 835 1002 1140 1336 1670 2004 2280 2505 3173 3340 4008 5010 5279 6346 6680 9519 10020 10558 12692 15837 15865 19038 20040 21116 25384 26395 31674 31730 38076 42232 47595 52790 63348 63460 76152 79185 95190 100301 105580 126696 126920 158370 190380 200602 211160 300903 316740 380760 401204 501505 601806 633480 802408 881593 1003010 1203612 1504515 1763186 2006020 2407224 2644779 3009030 3526372 4012040 4407965 5289558 6018060 7052744 8815930 10579116 12036120 13223895 16750267 17631860 21158232 26447790 33500534 35263720 50250801 52895580 67001068 83751335 100501602 105791160 134002136 167502670 201003204 251254005 335005340 402006408 502508010 670010680 1005016020 2010032040