Search a number
-
+
100350068 = 22713377451
BaseRepresentation
bin1011111101100…
…11100001110100
320222211022102012
411332303201310
5201142200233
613542503352
72325650540
oct576634164
9228738365
10100350068
1151710545
1229734b58
1317a36c50
14d482a20
158c23548
hex5fb3874

100350068 has 48 divisors (see below), whose sum is σ = 222009984. Its totient is φ = 38620800.

The previous prime is 100350067. The next prime is 100350079. The reversal of 100350068 is 860053001.

It is a super-2 number, since 2×1003500682 = 20140272295209248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100350067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9743 + ... + 17193.

It is an arithmetic number, because the mean of its divisors is an integer number (4625208).

Almost surely, 2100350068 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 100350068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111004992).

100350068 is an abundant number, since it is smaller than the sum of its proper divisors (121659916).

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

100350068 is a wasteful number, since it uses less digits than its factorization.

100350068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7512 (or 7510 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 100350068 is about 10017.4881083034. The cubic root of 100350068 is about 464.6998764769.

The spelling of 100350068 in words is "one hundred million, three hundred fifty thousand, sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 37 52 74 91 148 182 259 364 481 518 962 1036 1924 3367 6734 7451 13468 14902 29804 52157 96863 104314 193726 208628 275687 387452 551374 678041 1102748 1356082 1929809 2712164 3583931 3859618 7167862 7719236 14335724 25087517 50175034 100350068