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1264677940 = 2251710734763
BaseRepresentation
bin100101101100001…
…0111010000110100
310021010201021222201
41023120113100310
510042224143230
6325254234244
743224404461
oct11330272064
93233637881
101264677940
11599972289
122b3655984
1317201b756
14bdd68668
15760645ca
hex4b617434

1264677940 has 48 divisors (see below), whose sum is σ = 2838411072. Its totient is φ = 471650816.

The previous prime is 1264677937. The next prime is 1264677959. The reversal of 1264677940 is 497764621.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18999 + ... + 53761.

It is an arithmetic number, because the mean of its divisors is an integer number (59133564).

Almost surely, 21264677940 is an apocalyptic number.

1264677940 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 1264677940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419205536).

1264677940 is an abundant number, since it is smaller than the sum of its proper divisors (1573733132).

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

1264677940 is a wasteful number, since it uses less digits than its factorization.

1264677940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34896 (or 34894 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The square root of 1264677940 is about 35562.3106673343. The cubic root of 1264677940 is about 1081.4173036135.

The spelling of 1264677940 in words is "one billion, two hundred sixty-four million, six hundred seventy-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 107 170 214 340 428 535 1070 1819 2140 3638 7276 9095 18190 34763 36380 69526 139052 173815 347630 590971 695260 1181942 2363884 2954855 3719641 5909710 7439282 11819420 14878564 18598205 37196410 63233897 74392820 126467794 252935588 316169485 632338970 1264677940