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1015415040 = 28352311497
BaseRepresentation
bin111100100001100…
…000000100000000
32121202200102120110
4330201200010000
54034421240130
6244431511320
734106612463
oct7441400400
92552612513
101015415040
114811a2392
12244088540
131324a6703
1498c012da
155e228ab0
hex3c860100

1015415040 has 144 divisors (see below), whose sum is σ = 3384275328. Its totient is φ = 258981888.

The previous prime is 1015415039. The next prime is 1015415041. The reversal of 1015415040 is 405145101.

It is an interprime number because it is at equal distance from previous prime (1015415039) and next prime (1015415041).

It is a junction number, because it is equal to n+sod(n) for n = 1015414998 and 1015415016.

It is not an unprimeable number, because it can be changed into a prime (1015415041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82572 + ... + 94068.

It is an arithmetic number, because the mean of its divisors is an integer number (23501912).

Almost surely, 21015415040 is an apocalyptic number.

1015415040 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 1015415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692137664).

1015415040 is an abundant number, since it is smaller than the sum of its proper divisors (2368860288).

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

1015415040 is a wasteful number, since it uses less digits than its factorization.

1015415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11544 (or 11530 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 1015415040 is about 31865.5776661902. The cubic root of 1015415040 is about 1005.1121678721.

The spelling of 1015415040 in words is "one billion, fifteen million, four hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 320 345 368 384 460 480 552 640 690 736 768 920 960 1104 1280 1380 1472 1840 1920 2208 2760 2944 3680 3840 4416 5520 5888 7360 8832 11040 11497 14720 17664 22080 22994 29440 34491 44160 45988 57485 68982 88320 91976 114970 137964 172455 183952 229940 264431 275928 344910 367904 459880 528862 551856 689820 735808 793293 919760 1057724 1103712 1322155 1379640 1471616 1586586 1839520 2115448 2207424 2644310 2759280 2943232 3173172 3679040 3966465 4230896 4414848 5288620 5518560 6346344 7358080 7932930 8461792 8829696 10577240 11037120 12692688 14716160 15865860 16923584 21154480 22074240 25385376 31731720 33847168 42308960 44148480 50770752 63463440 67694336 84617920 101541504 126926880 169235840 203083008 253853760 338471680 507707520 1015415040