Search a number
-
+
151182990 = 23357411951
BaseRepresentation
bin10010000001011…
…01111010001110
3101112110220002000
421000231322032
5302200323430
623000213130
73514014510
oct1100557216
9345426060
10151182990
1178380022
124276a1a6
13254244ba
1416115bb0
15d414e60
hex902de8e

151182990 has 128 divisors (see below), whose sum is σ = 472227840. Its totient is φ = 33696000.

The previous prime is 151182971. The next prime is 151183007. The reversal of 151182990 is 99281151.

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, 76515 + ... + 78465.

It is an arithmetic number, because the mean of its divisors is an integer number (3689280).

Almost surely, 2151182990 is an apocalyptic number.

151182990 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 151182990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236113920).

151182990 is an abundant number, since it is smaller than the sum of its proper divisors (321044850).

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

151182990 is a wasteful number, since it uses less digits than its factorization.

151182990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The square root of 151182990 is about 12295.6492305205. The cubic root of 151182990 is about 532.7224224563.

The spelling of 151182990 in words is "one hundred fifty-one million, one hundred eighty-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 41 42 45 54 63 70 82 90 105 123 126 135 189 205 210 246 270 287 315 369 378 410 574 615 630 738 861 945 1107 1230 1435 1722 1845 1890 1951 2214 2583 2870 3690 3902 4305 5166 5535 5853 7749 8610 9755 11070 11706 12915 13657 15498 17559 19510 25830 27314 29265 35118 38745 40971 52677 58530 68285 77490 79991 81942 87795 105354 122913 136570 159982 175590 204855 239973 245826 263385 368739 399955 409710 479946 526770 559937 614565 719919 737478 799910 1119874 1199865 1229130 1439838 1679811 1843695 2159757 2399730 2799685 3359622 3599595 3687390 4319514 5039433 5599370 7199190 8399055 10078866 10798785 15118299 16798110 21597570 25197165 30236598 50394330 75591495 151182990