Search a number
-
+
7140631820 = 2257238918731
BaseRepresentation
bin1101010011001110…
…10110010100001100
3200102122100200101012
412221213112110030
5104111000204240
63140320304352
7341644240400
oct65147262414
920378320335
107140631820
113034778413
1214734720b8
1389a4a4a3a
144ba4c7100
152bbd47b65
hex1a99d650c

7140631820 has 72 divisors (see below), whose sum is σ = 17489319120. Its totient is φ = 2441792640.

The previous prime is 7140631811. The next prime is 7140631831. The reversal of 7140631820 is 281360417.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371855 + ... + 390585.

It is an arithmetic number, because the mean of its divisors is an integer number (242907210).

Almost surely, 27140631820 is an apocalyptic number.

7140631820 is a gapful number since it is divisible by the number (70) 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 7140631820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8744659560).

7140631820 is an abundant number, since it is smaller than the sum of its proper divisors (10348687300).

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

7140631820 is a wasteful number, since it uses less digits than its factorization.

7140631820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19143 (or 19134 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 7140631820 is about 84502.2592597381. The cubic root of 7140631820 is about 1925.6567676354.

The spelling of 7140631820 in words is "seven billion, one hundred forty million, six hundred thirty-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 389 490 778 980 1556 1945 2723 3890 5446 7780 10892 13615 18731 19061 27230 37462 38122 54460 74924 76244 93655 95305 131117 187310 190610 262234 374620 381220 524468 655585 917819 1311170 1835638 2622340 3671276 4589095 7286359 9178190 14572718 18356380 29145436 36431795 51004513 72863590 102009026 145727180 204018052 255022565 357031591 510045130 714063182 1020090260 1428126364 1785157955 3570315910 7140631820