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20860918240 = 255347401937
BaseRepresentation
bin10011011011011010…
…000101100111100000
31222211211111110001111
4103123122011213200
5320210343340430
613330001513104
71335644610421
oct233332054740
958754443044
1020860918240
1189354986a8
124062342794
131c75b69706
14101c78b648
15821627c2a
hex4db6859e0

20860918240 has 96 divisors (see below), whose sum is σ = 49602085344. Its totient is φ = 8290713600.

The previous prime is 20860918231. The next prime is 20860918241. The reversal of 20860918240 is 4281906802.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 20860918193 and 20860918202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20860918241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22263052 + ... + 22263988.

It is an arithmetic number, because the mean of its divisors is an integer number (516688389).

Almost surely, 220860918240 is an apocalyptic number.

20860918240 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 20860918240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24801042672).

20860918240 is an abundant number, since it is smaller than the sum of its proper divisors (28741167104).

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

20860918240 is a wasteful number, since it uses less digits than its factorization.

20860918240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 20860918240 in words is "twenty billion, eight hundred sixty million, nine hundred eighteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 347 401 694 802 937 1388 1604 1735 1874 2005 2776 3208 3470 3748 4010 4685 5552 6416 6940 7496 8020 9370 11104 12832 13880 14992 16040 18740 27760 29984 32080 37480 55520 64160 74960 139147 149920 278294 325139 375737 556588 650278 695735 751474 1113176 1300556 1391470 1502948 1625695 1878685 2226352 2601112 2782940 3005896 3251390 3757370 4452704 5202224 5565880 6011792 6502780 7514740 10404448 11131760 12023584 13005560 15029480 22263520 26011120 30058960 52022240 60117920 130380739 260761478 521522956 651903695 1043045912 1303807390 2086091824 2607614780 4172183648 5215229560 10430459120 20860918240