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147952640 = 2105113771
BaseRepresentation
bin10001101000110…
…01010000000000
3101022101202212102
420310121100000
5300333441030
622403045532
73444401543
oct1064312000
9338352772
10147952640
1176574010
12416708a8
1324863054
141591485a
15cec7c45
hex8d19400

147952640 has 176 divisors, whose sum is σ = 403242624. Its totient is φ = 51609600.

The previous prime is 147952631. The next prime is 147952643. The reversal of 147952640 is 46259741.

It is a tau number, because it is divible by the number of its divisors (176).

It is a junction number, because it is equal to n+sod(n) for n = 147952594 and 147952603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147952643) 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, 2083805 + ... + 2083875.

Almost surely, 2147952640 is an apocalyptic number.

147952640 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 147952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201621312).

147952640 is an abundant number, since it is smaller than the sum of its proper divisors (255289984).

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

147952640 is a wasteful number, since it uses less digits than its factorization.

147952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 147952640 is about 12163.5784208431. The cubic root of 147952640 is about 528.9008191436.

The spelling of 147952640 in words is "one hundred forty-seven million, nine hundred fifty-two thousand, six hundred forty".