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153033440 = 2557139983
BaseRepresentation
bin10010001111100…
…01101011100000
3101122221220102012
421013301223200
5303134032230
623104012052
73535522430
oct1107615340
9348856365
10153033440
117942431a
1243301028
1325921841
14164782c0
15d67d395
hex91f1ae0

153033440 has 96 divisors (see below), whose sum is σ = 416586240. Its totient is φ = 52038144.

The previous prime is 153033437. The next prime is 153033451. The reversal of 153033440 is 44330351.

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 15 ways as a sum of consecutive naturals, for example, 155189 + ... + 156171.

It is an arithmetic number, because the mean of its divisors is an integer number (4339440).

Almost surely, 2153033440 is an apocalyptic number.

153033440 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 153033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208293120).

153033440 is an abundant number, since it is smaller than the sum of its proper divisors (263552800).

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

153033440 is a wasteful number, since it uses less digits than its factorization.

153033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 153033440 is about 12370.6685348853. The cubic root of 153033440 is about 534.8870871270.

Adding to 153033440 its reverse (44330351), we get a palindrome (197363791).

The spelling of 153033440 in words is "one hundred fifty-three million, thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 139 140 160 224 278 280 556 560 695 973 983 1112 1120 1390 1946 1966 2224 2780 3892 3932 4448 4865 4915 5560 6881 7784 7864 9730 9830 11120 13762 15568 15728 19460 19660 22240 27524 31136 31456 34405 38920 39320 55048 68810 77840 78640 110096 136637 137620 155680 157280 220192 273274 275240 546548 550480 683185 956459 1093096 1100960 1366370 1912918 2186192 2732740 3825836 4372384 4782295 5465480 7651672 9564590 10930960 15303344 19129180 21861920 30606688 38258360 76516720 153033440