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1220326640 = 2451317233001
BaseRepresentation
bin100100010111100…
…1011010011110000
310011001021000102222
41020233023103300
54444400423030
6321031500212
742145414421
oct11057132360
93131230388
101220326640
1157692a515
122a0827668
13165a90490
14b8101648
15722033e5
hex48bcb4f0

1220326640 has 160 divisors (see below), whose sum is σ = 3377033856. Its totient is φ = 405504000.

The previous prime is 1220326633. The next prime is 1220326649. The reversal of 1220326640 is 466230221.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220326649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405140 + ... + 408140.

Almost surely, 21220326640 is an apocalyptic number.

1220326640 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 1220326640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688516928).

1220326640 is an abundant number, since it is smaller than the sum of its proper divisors (2156707216).

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

1220326640 is a wasteful number, since it uses less digits than its factorization.

1220326640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 1220326640 is about 34933.1739182113. The cubic root of 1220326640 is about 1068.6250835387.

Adding to 1220326640 its reverse (466230221), we get a palindrome (1686556861).

The spelling of 1220326640 in words is "one billion, two hundred twenty million, three hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 23 26 34 40 46 52 65 68 80 85 92 104 115 130 136 170 184 208 221 230 260 272 299 340 368 391 442 460 520 598 680 782 884 920 1040 1105 1196 1360 1495 1564 1768 1840 1955 2210 2392 2990 3001 3128 3536 3910 4420 4784 5083 5980 6002 6256 7820 8840 10166 11960 12004 15005 15640 17680 20332 23920 24008 25415 30010 31280 39013 40664 48016 50830 51017 60020 69023 78026 81328 101660 102034 120040 138046 156052 195065 203320 204068 240080 255085 276092 312104 345115 390130 406640 408136 510170 552184 624208 663221 690230 780260 816272 897299 1020340 1104368 1173391 1326442 1380460 1560520 1794598 2040680 2346782 2652884 2760920 3121040 3316105 3589196 4081360 4486495 4693564 5305768 5521840 5866955 6632210 7178392 8972990 9387128 10611536 11733910 13264420 14356784 15254083 17945980 18774256 23467820 26528840 30508166 35891960 46935640 53057680 61016332 71783920 76270415 93871280 122032664 152540830 244065328 305081660 610163320 1220326640