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147219840 = 2732561419
BaseRepresentation
bin10001100011001…
…10010110000000
3101021000112122200
420301212112000
5300142013330
622335233200
73435230235
oct1061462600
9337015580
10147219840
1176113499
1241378800
1324667641
14157a378c
15cdd0a60
hex8c66580

147219840 has 192 divisors, whose sum is σ = 517935600. Its totient is φ = 38522880.

The previous prime is 147219833. The next prime is 147219851. The reversal of 147219840 is 48912741.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 147219795 and 147219804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351151 + ... + 351569.

Almost surely, 2147219840 is an apocalyptic number.

147219840 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 147219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258967800).

147219840 is an abundant number, since it is smaller than the sum of its proper divisors (370715760).

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

147219840 is a wasteful number, since it uses less digits than its factorization.

147219840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 147219840 is about 12133.4183147207. The cubic root of 147219840 is about 528.0261695018.

It can be divided in two parts, 1472 and 19840, that added together give a palindrome (21312).

The spelling of 147219840 in words is "one hundred forty-seven million, two hundred nineteen thousand, eight hundred forty".