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150402060 = 2232517232137
BaseRepresentation
bin10001111011011…
…11010000001100
3101111000012211200
420331233100030
5302000331220
622531345500
73504252654
oct1075572014
9344005750
10150402060
1177997326
1242452290
132520cc03
1415d91364
15d30d890
hex8f6f40c

150402060 has 144 divisors (see below), whose sum is σ = 504294336. Its totient is φ = 36089856.

The previous prime is 150402047. The next prime is 150402061. The reversal of 150402060 is 60204051.

It is a happy number.

150402060 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150402061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69312 + ... + 71448.

It is an arithmetic number, because the mean of its divisors is an integer number (3502044).

Almost surely, 2150402060 is an apocalyptic number.

150402060 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 150402060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252147168).

150402060 is an abundant number, since it is smaller than the sum of its proper divisors (353892276).

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

150402060 is a wasteful number, since it uses less digits than its factorization.

150402060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 150402060 is about 12263.8517603565. The cubic root of 150402060 is about 531.8035860756.

The spelling of 150402060 in words is "one hundred fifty million, four hundred two thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 23 30 34 36 45 46 51 60 68 69 85 90 92 102 115 138 153 170 180 204 207 230 255 276 306 340 345 391 414 460 510 612 690 765 782 828 1020 1035 1173 1380 1530 1564 1955 2070 2137 2346 3060 3519 3910 4140 4274 4692 5865 6411 7038 7820 8548 10685 11730 12822 14076 17595 19233 21370 23460 25644 32055 35190 36329 38466 42740 49151 64110 70380 72658 76932 96165 98302 108987 128220 145316 147453 181645 192330 196604 217974 245755 294906 326961 363290 384660 435948 442359 491510 544935 589812 653922 726580 737265 835567 884718 983020 1089870 1307844 1474530 1634805 1671134 1769436 2179740 2211795 2506701 2949060 3269610 3342268 4177835 4423590 5013402 6539220 7520103 8355670 8847180 10026804 12533505 15040206 16711340 25067010 30080412 37600515 50134020 75201030 150402060