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147363840 = 2113351341
BaseRepresentation
bin10001100100010…
…01100000000000
3101021021212012000
420302021200000
5300211120330
622342304000
73436400121
oct1062114000
9337255160
10147363840
11762016a8
1241428000
13246b8050
1415800048
15ce0d560
hex8c89800

147363840 has 384 divisors, whose sum is σ = 577886400. Its totient is φ = 35389440.

The previous prime is 147363833. The next prime is 147363883. The reversal of 147363840 is 48363741.

147363840 is a `hidden beast` number, since 14 + 7 + 3 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1473638402 = 43432202679091200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 147363795 and 147363804.

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 31 ways as a sum of consecutive naturals, for example, 3594220 + ... + 3594260.

Almost surely, 2147363840 is an apocalyptic number.

147363840 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 147363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288943200).

147363840 is an abundant number, since it is smaller than the sum of its proper divisors (430522560).

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

147363840 is a wasteful number, since it uses less digits than its factorization.

147363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 147363840 is about 12139.3508887420. The cubic root of 147363840 is about 528.1982726435.

Subtracting from 147363840 its reverse (48363741), we obtain a palindrome (99000099).

The spelling of 147363840 in words is "one hundred forty-seven million, three hundred sixty-three thousand, eight hundred forty".