Search a number
-
+
36874404 = 223271311117
BaseRepresentation
bin1000110010101…
…0100010100100
32120101102011200
42030222202210
533414440104
63354202500
7625266360
oct214524244
976342150
1036874404
11198a6316
1210423430
137840c98
144c7c2a0
153385b39
hex232a8a4

36874404 has 72 divisors (see below), whose sum is σ = 107435328. Its totient is φ = 10445760.

The previous prime is 36874403. The next prime is 36874463. The reversal of 36874404 is 40447863.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36874403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32454 + ... + 33570.

Almost surely, 236874404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36874404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53717664).

36874404 is an abundant number, since it is smaller than the sum of its proper divisors (70560924).

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

36874404 is a wasteful number, since it uses less digits than its factorization.

36874404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 36874404 is about 6072.4298266839. The cubic root of 36874404 is about 332.8447183383.

The spelling of 36874404 in words is "thirty-six million, eight hundred seventy-four thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 131 252 262 393 524 786 917 1117 1179 1572 1834 2234 2358 2751 3351 3668 4468 4716 5502 6702 7819 8253 10053 11004 13404 15638 16506 20106 23457 31276 33012 40212 46914 70371 93828 140742 146327 281484 292654 438981 585308 877962 1024289 1316943 1755924 2048578 2633886 3072867 4097156 5267772 6145734 9218601 12291468 18437202 36874404