Search a number
-
+
90394002 = 2332373997
BaseRepresentation
bin1010110001101…
…00110110010010
320022002111021000
411120310312102
5141120102002
612545242430
72145223236
oct530646622
9208074230
1090394002
1147030396
1226333416
131595c39a
14c0105c6
157e0861c
hex5634d92

90394002 has 64 divisors (see below), whose sum is σ = 212693760. Its totient is φ = 28397952.

The previous prime is 90393983. The next prime is 90394013. The reversal of 90394002 is 20049309.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90168 + ... + 91164.

It is an arithmetic number, because the mean of its divisors is an integer number (3323340).

Almost surely, 290394002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90394002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106346880).

90394002 is an abundant number, since it is smaller than the sum of its proper divisors (122299758).

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

90394002 is a wasteful number, since it uses less digits than its factorization.

90394002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 90394002 is about 9507.5760317759. The cubic root of 90394002 is about 448.7934791297.

It can be divided in two parts, 9039 and 4002, that added together give a triangular number (13041 = T161).

The spelling of 90394002 in words is "ninety million, three hundred ninety-four thousand, two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 73 138 146 207 219 414 438 621 657 997 1242 1314 1679 1971 1994 2991 3358 3942 5037 5982 8973 10074 15111 17946 22931 26919 30222 45333 45862 53838 68793 72781 90666 137586 145562 206379 218343 412758 436686 619137 655029 1238274 1310058 1673963 1965087 3347926 3930174 5021889 10043778 15065667 30131334 45197001 90394002