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1074070100 = 2252232916103
BaseRepresentation
bin100000000000101…
…0000001001010100
32202212001102012002
41000001100021110
54144430220400
6254325014432
735421305465
oct10001201124
92685042162
101074070100
11501314844
1225b854418
131416a244c
14a290cd6c
1564462ed5
hex40050254

1074070100 has 72 divisors (see below), whose sum is σ = 2516088960. Its totient is φ = 396753280.

The previous prime is 1074070087. The next prime is 1074070121. The reversal of 1074070100 is 10704701.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58649 + ... + 74751.

It is an arithmetic number, because the mean of its divisors is an integer number (34945680).

Almost surely, 21074070100 is an apocalyptic number.

1074070100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1074070100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258044480).

1074070100 is an abundant number, since it is smaller than the sum of its proper divisors (1442018860).

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

1074070100 is a wasteful number, since it uses less digits than its factorization.

1074070100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16169 (or 16162 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 1074070100 is about 32773.0087114381. The cubic root of 1074070100 is about 1024.1043454968.

Adding to 1074070100 its reverse (10704701), we get a palindrome (1084774801).

The spelling of 1074070100 in words is "one billion, seventy-four million, seventy thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 29 46 50 58 92 100 115 116 145 230 290 460 575 580 667 725 1150 1334 1450 2300 2668 2900 3335 6670 13340 16103 16675 32206 33350 64412 66700 80515 161030 322060 370369 402575 466987 740738 805150 933974 1481476 1610300 1851845 1867948 2334935 3703690 4669870 7407380 9259225 9339740 10740701 11674675 18518450 21481402 23349350 37036900 42962804 46698700 53703505 107407010 214814020 268517525 537035050 1074070100