Search a number
-
+
155402304 = 26317471013
BaseRepresentation
bin10010100001101…
…00000001000000
3101211102020212220
421100310001000
5304240333204
623230451040
73564616641
oct1120640100
9354366786
10155402304
117a7a2062
1244063a80
1326270b35
14168d36c8
15d99a1d9
hex9434040

155402304 has 112 divisors (see below), whose sum is σ = 445056768. Its totient is φ = 47669248.

The previous prime is 155402297. The next prime is 155402323. The reversal of 155402304 is 403204551.

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

It is a congruent number.

It is an unprimeable number.

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, 152902 + ... + 153914.

Almost surely, 2155402304 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 155402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222528384).

155402304 is an abundant number, since it is smaller than the sum of its proper divisors (289654464).

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

155402304 is a wasteful number, since it uses less digits than its factorization.

155402304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 155402304 is about 12466.0460451580. The cubic root of 155402304 is about 537.6328760365.

Adding to 155402304 its reverse (403204551), we get a palindrome (558606855).

The spelling of 155402304 in words is "one hundred fifty-five million, four hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 47 48 51 64 68 94 96 102 136 141 188 192 204 272 282 376 408 544 564 752 799 816 1013 1088 1128 1504 1598 1632 2026 2256 2397 3008 3039 3196 3264 4052 4512 4794 6078 6392 8104 9024 9588 12156 12784 16208 17221 19176 24312 25568 32416 34442 38352 47611 48624 51136 51663 64832 68884 76704 95222 97248 103326 137768 142833 153408 190444 194496 206652 275536 285666 380888 413304 551072 571332 761776 809387 826608 1102144 1142664 1523552 1618774 1653216 2285328 2428161 3047104 3237548 3306432 4570656 4856322 6475096 9141312 9712644 12950192 19425288 25900384 38850576 51800768 77701152 155402304