Search a number
-
+
40396100 = 22523183157
BaseRepresentation
bin1001101000011…
…0010101000100
32211000100000212
42122012111010
540320133400
64001454552
71000234613
oct232062504
984010025
1040396100
1120891208
1211641458
1384a4c24
14551787a
15382e335
hex2686544

40396100 has 72 divisors (see below), whose sum is σ = 92160768. Its totient is φ = 15350400.

The previous prime is 40396079. The next prime is 40396129. The reversal of 40396100 is 169304.

It is a congruent number.

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, 257222 + ... + 257378.

Almost surely, 240396100 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 40396100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46080384).

40396100 is an abundant number, since it is smaller than the sum of its proper divisors (51764668).

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

40396100 is a wasteful number, since it uses less digits than its factorization.

40396100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 40396100 is about 6355.7926334958. The cubic root of 40396100 is about 343.1203526123.

The spelling of 40396100 in words is "forty million, three hundred ninety-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 83 100 124 155 157 166 310 314 332 415 620 628 775 785 830 1550 1570 1660 2075 2573 3100 3140 3925 4150 4867 5146 7850 8300 9734 10292 12865 13031 15700 19468 24335 25730 26062 48670 51460 52124 64325 65155 97340 121675 128650 130310 243350 257300 260620 325775 403961 486700 651550 807922 1303100 1615844 2019805 4039610 8079220 10099025 20198050 40396100