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105454380 = 223513712829
BaseRepresentation
bin1100100100100…
…01101100101100
321100102122012210
412102101230230
5203444020010
614244130420
72420230113
oct622215454
9240378183
10105454380
1154587489
122b396a10
1318b03355
1410010c7a
1593d0b20
hex6491b2c

105454380 has 48 divisors (see below), whose sum is σ = 297450720. Its totient is φ = 27913728.

The previous prime is 105454373. The next prime is 105454397. The reversal of 105454380 is 83454501.

It is a super-2 number, since 2×1054543802 = 22241252522368800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1806 + ... + 14634.

It is an arithmetic number, because the mean of its divisors is an integer number (6196890).

Almost surely, 2105454380 is an apocalyptic number.

105454380 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 105454380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148725360).

105454380 is an abundant number, since it is smaller than the sum of its proper divisors (191996340).

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

105454380 is a wasteful number, since it uses less digits than its factorization.

105454380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12978 (or 12976 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 105454380 is about 10269.0983051094. The cubic root of 105454380 is about 472.4489348806.

The spelling of 105454380 in words is "one hundred five million, four hundred fifty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1644 2055 2740 4110 8220 12829 25658 38487 51316 64145 76974 128290 153948 192435 256580 384870 769740 1757573 3515146 5272719 7030292 8787865 10545438 17575730 21090876 26363595 35151460 52727190 105454380