Search a number
-
+
150350130 = 232572103331
BaseRepresentation
bin10001111011000…
…10100100110010
3101110220120121100
420331202210302
5301442201010
622530305230
73503645400
oct1075424462
9343816540
10150350130
1177961307
1242428216
13251c2398
1415d7a470
15d2ed2c0
hex8f62932

150350130 has 144 divisors (see below), whose sum is σ = 460534464. Its totient is φ = 33929280.

The previous prime is 150350119. The next prime is 150350153. The reversal of 150350130 is 31053051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 454065 + ... + 454395.

It is an arithmetic number, because the mean of its divisors is an integer number (3198156).

Almost surely, 2150350130 is an apocalyptic number.

150350130 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 150350130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230267232).

150350130 is an abundant number, since it is smaller than the sum of its proper divisors (310184334).

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

150350130 is a wasteful number, since it uses less digits than its factorization.

150350130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 150350130 is about 12261.7343797686. The cubic root of 150350130 is about 531.7423729529.

The spelling of 150350130 in words is "one hundred fifty million, three hundred fifty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 103 105 126 147 206 210 245 294 309 315 331 441 490 515 618 630 662 721 735 882 927 993 1030 1442 1470 1545 1655 1854 1986 2163 2205 2317 2979 3090 3310 3605 4326 4410 4634 4635 4965 5047 5958 6489 6951 7210 9270 9930 10094 10815 11585 12978 13902 14895 15141 16219 20853 21630 23170 25235 29790 30282 32438 32445 34093 34755 41706 45423 48657 50470 64890 68186 69510 75705 81095 90846 97314 102279 104265 145971 151410 162190 170465 204558 208530 227115 238651 243285 291942 306837 340930 454230 477302 486570 511395 613674 715953 729855 1022790 1193255 1431906 1459710 1534185 1670557 2147859 2386510 3068370 3341114 3579765 4295718 5011671 7159530 8352785 10023342 10739295 15035013 16705570 21478590 25058355 30070026 50116710 75175065 150350130