Search a number
-
+
153930456 = 2334237547
BaseRepresentation
bin10010010110011…
…00101011011000
3101201122110220000
421023030223120
5303401233311
623135133000
73546246561
oct1113145330
9351573800
10153930456
1179987259
1243674160
1325b76c14
141662d168
15d7a9056
hex92ccad8

153930456 has 40 divisors (see below), whose sum is σ = 431149620. Its totient is φ = 51309936.

The previous prime is 153930409. The next prime is 153930503. The reversal of 153930456 is 654039351.

It is an interprime number because it is at equal distance from previous prime (153930409) and next prime (153930503).

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

It is a self number, because there is not a number n which added to its sum of digits gives 153930456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 118126 + ... + 119421.

Almost surely, 2153930456 is an apocalyptic number.

It is an amenable number.

153930456 is an abundant number, since it is smaller than the sum of its proper divisors (277219164).

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

153930456 is a wasteful number, since it uses less digits than its factorization.

153930456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237565 (or 237552 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 153930456 is about 12406.8713219732. The cubic root of 153930456 is about 535.9301442340.

The spelling of 153930456 in words is "one hundred fifty-three million, nine hundred thirty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 237547 475094 712641 950188 1425282 1900376 2137923 2850564 4275846 5701128 6413769 8551692 12827538 17103384 19241307 25655076 38482614 51310152 76965228 153930456