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153104424 = 233114313487
BaseRepresentation
bin10010010000000…
…11000000101000
3101200002111210020
421020003000220
5303143320144
623105320440
73536236404
oct1110030050
9350074706
10153104424
1179472690
1243336120
1325947c45
1416496104
15d694419
hex9203028

153104424 has 64 divisors (see below), whose sum is σ = 427299840. Its totient is φ = 45312960.

The previous prime is 153104423. The next prime is 153104429. The reversal of 153104424 is 424401351.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 153104394 and 153104403.

It is not an unprimeable number, because it can be changed into a prime (153104423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4609 + ... + 18095.

It is an arithmetic number, because the mean of its divisors is an integer number (6676560).

Almost surely, 2153104424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153104424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213649920).

153104424 is an abundant number, since it is smaller than the sum of its proper divisors (274195416).

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

153104424 is a wasteful number, since it uses less digits than its factorization.

153104424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13550 (or 13546 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 153104424 is about 12373.5372468830. The cubic root of 153104424 is about 534.9697761480.

Adding to 153104424 its reverse (424401351), we get a palindrome (577505775).

The spelling of 153104424 in words is "one hundred fifty-three million, one hundred four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1892 2838 3784 5676 11352 13487 26974 40461 53948 80922 107896 148357 161844 296714 323688 445071 579941 593428 890142 1159882 1186856 1739823 1780284 2319764 3479646 3560568 4639528 6379351 6959292 12758702 13918584 19138053 25517404 38276106 51034808 76552212 153104424