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1100460020 = 2251133714843
BaseRepresentation
bin100000110010111…
…1010111111110100
32211200201011100112
41001211322333310
54223204210040
6301110402152
736161520152
oct10145727764
92750634315
101100460020
115151a99a0
12268660358
13146cb219a
14a621c3d2
1566927365
hex4197aff4

1100460020 has 48 divisors (see below), whose sum is σ = 2528705088. Its totient is φ = 398952960.

The previous prime is 1100460017. The next prime is 1100460029. The reversal of 1100460020 is 200640011.

It is a super-2 number, since 2×11004600202 = 2422024511236800800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1100459977 and 1100460004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100460029) 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, 66719 + ... + 81561.

It is an arithmetic number, because the mean of its divisors is an integer number (52681356).

Almost surely, 21100460020 is an apocalyptic number.

1100460020 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 1100460020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264352544).

1100460020 is an abundant number, since it is smaller than the sum of its proper divisors (1428245068).

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

1100460020 is a wasteful number, since it uses less digits than its factorization.

1100460020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15200 (or 15198 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1100460020 is about 33173.1822410814. The cubic root of 1100460020 is about 1032.4239952495.

Subtracting from 1100460020 its reverse (200640011), we obtain a square (899820009 = 299972).

The spelling of 1100460020 in words is "one billion, one hundred million, four hundred sixty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 337 674 1348 1685 3370 3707 6740 7414 14828 14843 18535 29686 37070 59372 74140 74215 148430 163273 296860 326546 653092 816365 1632730 3265460 5002091 10004182 20008364 25010455 50020910 55023001 100041820 110046002 220092004 275115005 550230010 1100460020