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153146004 = 2231119227269
BaseRepresentation
bin10010010000011…
…01001010010100
3101200011121211020
421020031022110
5303201133004
623110241140
73536501544
oct1110151224
9350147736
10153146004
11794a0950
12433561b0
1325960b4b
14164a7324
15d6a18d9
hex920d294

153146004 has 96 divisors (see below), whose sum is σ = 413683200. Its totient is φ = 43608960.

The previous prime is 153145973. The next prime is 153146011. The reversal of 153146004 is 400641351.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 569182 + ... + 569450.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 2153146004 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 153146004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600).

153146004 is an abundant number, since it is smaller than the sum of its proper divisors (260537196).

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

153146004 is a wasteful number, since it uses less digits than its factorization.

153146004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 153146004 is about 12375.2173314249. The cubic root of 153146004 is about 535.0182006793.

Adding to 153146004 its reverse (400641351), we get a palindrome (553787355).

The spelling of 153146004 in words is "one hundred fifty-three million, one hundred forty-six thousand, four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 227 228 269 418 454 538 627 681 807 836 908 1076 1254 1362 1614 2497 2508 2724 2959 3228 4313 4994 5111 5918 7491 8626 8877 9988 10222 11836 12939 14982 15333 17252 17754 20444 25878 29964 30666 35508 47443 51756 56221 61063 61332 94886 112442 122126 142329 168663 183189 189772 224884 244252 284658 337326 366378 569316 671693 674652 732756 1160197 1343386 2015079 2320394 2686772 3480591 4030158 4640788 6961182 8060316 12762167 13922364 25524334 38286501 51048668 76573002 153146004