Search a number
-
+
153004110 = 23575359233
BaseRepresentation
bin10010001111010…
…10100001001110
3101122220102011220
421013222201032
5303132112420
623103224210
73535341060
oct1107524116
9348812156
10153004110
1179404286
12432a8066
132591139c
141646b730
15d674840
hex91ea84e

153004110 has 128 divisors (see below), whose sum is σ = 436700160. Its totient is φ = 33586176.

The previous prime is 153004099. The next prime is 153004121. The reversal of 153004110 is 11400351.

It is an interprime number because it is at equal distance from previous prime (153004099) and next prime (153004121).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 153004110.

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 63 ways as a sum of consecutive naturals, for example, 656554 + ... + 656786.

It is an arithmetic number, because the mean of its divisors is an integer number (3411720).

Almost surely, 2153004110 is an apocalyptic number.

153004110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153004110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218350080).

153004110 is an abundant number, since it is smaller than the sum of its proper divisors (283696050).

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

153004110 is a wasteful number, since it uses less digits than its factorization.

153004110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 153004110 is about 12369.4830126404. The cubic root of 153004110 is about 534.8529132440.

Adding to 153004110 its reverse (11400351), we get a palindrome (164404461).

The spelling of 153004110 in words is "one hundred fifty-three million, four thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 59 70 105 106 118 159 177 210 233 265 295 318 354 371 413 466 530 590 699 742 795 826 885 1113 1165 1239 1398 1590 1631 1770 1855 2065 2226 2330 2478 3127 3262 3495 3710 4130 4893 5565 6195 6254 6990 8155 9381 9786 11130 12349 12390 13747 15635 16310 18762 21889 24465 24698 27494 31270 37047 41241 43778 46905 48930 61745 65667 68735 74094 82482 86443 93810 96229 109445 123490 131334 137470 172886 185235 192458 206205 218890 259329 288687 328335 370470 412410 432215 481145 518658 577374 656670 728591 864430 962290 1296645 1443435 1457182 2185773 2593290 2886870 3642955 4371546 5100137 7285910 10200274 10928865 15300411 21857730 25500685 30600822 51001370 76502055 153004110