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153278040 = 23351817057
BaseRepresentation
bin10010010001011…
…01011001011000
3101200102022221110
421020231121120
5303214344130
623113140320
73540561516
oct1110553130
9350368843
10153278040
1179581073
12433ba6a0
13259a8c86
14164dd4b6
15d6caab0
hex922d658

153278040 has 64 divisors (see below), whose sum is σ = 462440160. Its totient is φ = 40642560.

The previous prime is 153278011. The next prime is 153278053. The reversal of 153278040 is 40872351.

153278040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 153277989 and 153278007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18192 + ... + 25248.

Almost surely, 2153278040 is an apocalyptic number.

153278040 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 153278040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231220080).

153278040 is an abundant number, since it is smaller than the sum of its proper divisors (309162120).

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

153278040 is a wasteful number, since it uses less digits than its factorization.

153278040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7252 (or 7248 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 153278040 is about 12380.5508762736. The cubic root of 153278040 is about 535.1719131924.

The spelling of 153278040 in words is "one hundred fifty-three million, two hundred seventy-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 181 362 543 724 905 1086 1448 1810 2172 2715 3620 4344 5430 7057 7240 10860 14114 21171 21720 28228 35285 42342 56456 70570 84684 105855 141140 169368 211710 282280 423420 846840 1277317 2554634 3831951 5109268 6386585 7663902 10218536 12773170 15327804 19159755 25546340 30655608 38319510 51092680 76639020 153278040