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152015100 = 2235229101173
BaseRepresentation
bin10010000111110…
…01000011111100
3101121001011111220
421003321003330
5302403440400
623030113340
73524051466
oct1103710374
9347034456
10152015100
1178899216
1242aab850
1325656183
1416291136
15d52b7a0
hex90f90fc

152015100 has 144 divisors (see below), whose sum is σ = 462157920. Its totient is φ = 38528000.

The previous prime is 152015053. The next prime is 152015117. The reversal of 152015100 is 1510251.

152015100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 152015100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 878614 + ... + 878786.

It is an arithmetic number, because the mean of its divisors is an integer number (3209430).

Almost surely, 2152015100 is an apocalyptic number.

152015100 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 152015100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231078960).

152015100 is an abundant number, since it is smaller than the sum of its proper divisors (310142820).

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

152015100 is a wasteful number, since it uses less digits than its factorization.

152015100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 152015100 is about 12329.4403765946. The cubic root of 152015100 is about 533.6980014684.

Adding to 152015100 its reverse (1510251), we get a palindrome (153525351).

It can be divided in two parts, 15201 and 5100, that added together give a triangular number (20301 = T201).

The spelling of 152015100 in words is "one hundred fifty-two million, fifteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 101 116 145 150 173 174 202 290 300 303 346 348 404 435 505 519 580 606 692 725 865 870 1010 1038 1212 1450 1515 1730 1740 2020 2076 2175 2525 2595 2900 2929 3030 3460 4325 4350 5017 5050 5190 5858 6060 7575 8650 8700 8787 10034 10100 10380 11716 12975 14645 15051 15150 17300 17473 17574 20068 25085 25950 29290 30102 30300 34946 35148 43935 50170 51900 52419 58580 60204 69892 73225 75255 87365 87870 100340 104838 125425 146450 150510 174730 175740 209676 219675 250850 262095 292900 301020 349460 376275 436825 439350 501700 506717 524190 752550 873650 878700 1013434 1048380 1310475 1505100 1520151 1747300 2026868 2533585 2620950 3040302 5067170 5241900 6080604 7600755 10134340 12667925 15201510 25335850 30403020 38003775 50671700 76007550 152015100