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106453456 = 2417391373
BaseRepresentation
bin1100101100001…
…01100111010000
321102022101200121
412112011213100
5204223002311
614321400024
72431560634
oct626054720
9242271617
10106453456
11550aa06a
122b799014
1319093015
14101d0dc4
15952bb71
hex65859d0

106453456 has 20 divisors (see below), whose sum is σ = 218386692. Its totient is φ = 50095616.

The previous prime is 106453429. The next prime is 106453471. The reversal of 106453456 is 654354601.

It can be written as a sum of positive squares in 2 ways, for example, as 93779856 + 12673600 = 9684^2 + 3560^2 .

It is a super-2 number, since 2×1064534562 = 22664676588687872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 195415 + ... + 195958.

Almost surely, 2106453456 is an apocalyptic number.

106453456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106453456 is an abundant number, since it is smaller than the sum of its proper divisors (111933236).

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

106453456 is a wasteful number, since it uses less digits than its factorization.

106453456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391398 (or 391392 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 106453456 is about 10317.6284096686. The cubic root of 106453456 is about 473.9362433311.

The spelling of 106453456 in words is "one hundred six million, four hundred fifty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 391373 782746 1565492 3130984 6261968 6653341 13306682 26613364 53226728 106453456