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106454320 = 2457190097
BaseRepresentation
bin1100101100001…
…01110100110000
321102022102212121
412112011310300
5204223014240
614321404024
72431563310
oct626056460
9242272777
10106454320
11550aa785
122b799614
131909352b
14101d1440
15952c04a
hex6585d30

106454320 has 40 divisors (see below), whose sum is σ = 282865824. Its totient is φ = 36498432.

The previous prime is 106454297. The next prime is 106454351. The reversal of 106454320 is 23454601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1064543202 = 22665044493324800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94489 + ... + 95608.

Almost surely, 2106454320 is an apocalyptic number.

106454320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106454320 is an abundant number, since it is smaller than the sum of its proper divisors (176411504).

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

106454320 is a wasteful number, since it uses less digits than its factorization.

106454320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190117 (or 190111 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 106454320 is about 10317.6702796707. The cubic root of 106454320 is about 473.9375255184.

The spelling of 106454320 in words is "one hundred six million, four hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 190097 380194 760388 950485 1330679 1520776 1900970 2661358 3041552 3801940 5322716 6653395 7603880 10645432 13306790 15207760 21290864 26613580 53227160 106454320