Search a number
-
+
7364997920 = 25572939413
BaseRepresentation
bin1101101101111110…
…01111001100100000
3201000021112122210202
412312333033030200
5110040414413140
63214453244332
7350340310100
oct66677171440
921007478722
107364997920
11313a392a45
1215166336a8
13904b10847
144dc20d200
152d18b6915
hex1b6fcf320

7364997920 has 72 divisors (see below), whose sum is σ = 20240614044. Its totient is φ = 2525139456.

The previous prime is 7364997883. The next prime is 7364997943. The reversal of 7364997920 is 297994637.

It can be written as a sum of positive squares in 2 ways, for example, as 7060704784 + 304293136 = 84028^2 + 17444^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

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 11 ways as a sum of consecutive naturals, for example, 461867 + ... + 477546.

Almost surely, 27364997920 is an apocalyptic number.

7364997920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7364997920 is an abundant number, since it is smaller than the sum of its proper divisors (12875616124).

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

7364997920 is a wasteful number, since it uses less digits than its factorization.

7364997920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939442 (or 939427 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 56.

The square root of 7364997920 is about 85819.5660674184. The cubic root of 7364997920 is about 1945.6178536394.

The spelling of 7364997920 in words is "seven billion, three hundred sixty-four million, nine hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 939413 1878826 3757652 4697065 6575891 7515304 9394130 13151782 15030608 18788260 26303564 30061216 32879455 37576520 46031237 52607128 65758910 75153040 92062474 105214256 131517820 150306080 184124948 210428512 230156185 263035640 368249896 460312370 526071280 736499792 920624740 1052142560 1472999584 1841249480 3682498960 7364997920