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152031440 = 24511315573
BaseRepresentation
bin10010000111111…
…01000011010000
3101121001222221002
421003331003100
5302410001230
623030321132
73524150231
oct1103750320
9347058832
10152031440
11788aa520
1242ab91a8
1325660742
1416297088
15d531545
hex90fd0d0

152031440 has 80 divisors (see below), whose sum is σ = 398117376. Its totient is φ = 53491200.

The previous prime is 152031437. The next prime is 152031461. The reversal of 152031440 is 44130251.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1520314402 = 46227117496947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 24494 + ... + 30066.

Almost surely, 2152031440 is an apocalyptic number.

152031440 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 152031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199058688).

152031440 is an abundant number, since it is smaller than the sum of its proper divisors (246085936).

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

152031440 is a wasteful number, since it uses less digits than its factorization.

152031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5628 (or 5622 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 152031440 is about 12330.1030003808. The cubic root of 152031440 is about 533.7171230620.

Adding to 152031440 its reverse (44130251), we get a palindrome (196161691).

The spelling of 152031440 in words is "one hundred fifty-two million, thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 620 682 880 1240 1364 1705 2480 2728 3410 5456 5573 6820 11146 13640 22292 27280 27865 44584 55730 61303 89168 111460 122606 172763 222920 245212 306515 345526 445840 490424 613030 691052 863815 980848 1226060 1382104 1727630 1900393 2452120 2764208 3455260 3800786 4904240 6910520 7601572 9501965 13821040 15203144 19003930 30406288 38007860 76015720 152031440