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7900074 = 2327213253
BaseRepresentation
bin11110001000101110101010
3112212100212100
4132020232222
54010300244
6441154230
7124102200
oct36105652
915770770
107900074
114506496
12278b976
131837b00
141099070
15a60b69
hex788baa

7900074 has 108 divisors (see below), whose sum is σ = 21967686. Its totient is φ = 2044224.

The previous prime is 7900073. The next prime is 7900091. The reversal of 7900074 is 4700097.

It can be written as a sum of positive squares in 3 ways, for example, as 4862025 + 3038049 = 2205^2 + 1743^2 .

It is a super-2 number, since 2×79000742 = 124822338410952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7900073) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 149032 + ... + 149084.

Almost surely, 27900074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7900074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10983843).

7900074 is an abundant number, since it is smaller than the sum of its proper divisors (14067612).

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

7900074 is a wasteful number, since it uses less digits than its factorization.

7900074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 7900074 is about 2810.7070284895. The cubic root of 7900074 is about 199.1637919867.

The spelling of 7900074 in words is "seven million, nine hundred thousand, seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 53 63 78 91 98 106 117 126 147 159 169 182 234 273 294 318 338 371 441 477 507 546 637 689 742 819 882 954 1014 1113 1183 1274 1378 1521 1638 1911 2067 2226 2366 2597 3042 3339 3549 3822 4134 4823 5194 5733 6201 6678 7098 7791 8281 8957 9646 10647 11466 12402 14469 15582 16562 17914 21294 23373 24843 26871 28938 33761 43407 46746 49686 53742 62699 67522 74529 80613 86814 101283 125398 149058 161226 188097 202566 303849 376194 438893 564291 607698 877786 1128582 1316679 2633358 3950037 7900074