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147941640 = 23345711593
BaseRepresentation
bin10001101000101…
…10100100001000
3101022101012210000
420310112210020
5300333113030
622402523000
73444324510
oct1064264410
9338335700
10147941640
1176566820
1241666460
132485b042
1415910840
15cec4860
hex8d16908

147941640 has 320 divisors, whose sum is σ = 620991360. Its totient is φ = 30689280.

The previous prime is 147941639. The next prime is 147941671. The reversal of 147941640 is 46149741.

147941640 is a `hidden beast` number, since 1 + 4 + 7 + 9 + 4 + 1 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 147941595 and 147941604.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 249184 + ... + 249776.

It is an arithmetic number, because the mean of its divisors is an integer number (1940598).

Almost surely, 2147941640 is an apocalyptic number.

147941640 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 147941640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310495680).

147941640 is an abundant number, since it is smaller than the sum of its proper divisors (473049720).

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

147941640 is a wasteful number, since it uses less digits than its factorization.

147941640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 147941640 is about 12163.1262428703. The cubic root of 147941640 is about 528.8877112257.

The spelling of 147941640 in words is "one hundred forty-seven million, nine hundred forty-one thousand, six hundred forty".