Search a number
-
+
151035640 = 23572263293
BaseRepresentation
bin10010000000010…
…01111011111000
3101112012101221121
421000021323320
5302131120030
622553115024
73512532100
oct1100117370
9345171847
10151035640
117828a348
12426b8a74
13253a2402
14160b8200
15d3d647a
hex9009ef8

151035640 has 96 divisors (see below), whose sum is σ = 398170080. Its totient is φ = 51410688.

The previous prime is 151035623. The next prime is 151035653. The reversal of 151035640 is 46530151.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515334 + ... + 515626.

It is an arithmetic number, because the mean of its divisors is an integer number (4147605).

Almost surely, 2151035640 is an apocalyptic number.

151035640 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 151035640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199085040).

151035640 is an abundant number, since it is smaller than the sum of its proper divisors (247134440).

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

151035640 is a wasteful number, since it uses less digits than its factorization.

151035640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 151035640 is about 12289.6558129184. The cubic root of 151035640 is about 532.5492941502.

Adding to 151035640 its reverse (46530151), we get a palindrome (197565791).

The spelling of 151035640 in words is "one hundred fifty-one million, thirty-five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 263 280 293 392 490 526 586 980 1052 1172 1315 1465 1841 1960 2051 2104 2344 2630 2930 3682 4102 5260 5860 7364 8204 9205 10255 10520 11720 12887 14357 14728 16408 18410 20510 25774 28714 36820 41020 51548 57428 64435 71785 73640 77059 82040 103096 114856 128870 143570 154118 257740 287140 308236 385295 515480 539413 574280 616472 770590 1078826 1541180 2157652 2697065 3082360 3775891 4315304 5394130 7551782 10788260 15103564 18879455 21576520 30207128 37758910 75517820 151035640