[go: up one dir, main page]

Search a number
-
+
152374200 = 233521123087
BaseRepresentation
bin10010001010100…
…00101110111000
3101121201102002220
421011100232320
5303001433300
623041524040
73530105436
oct1105205670
9347642086
10152374200
1179013aa0
1243043620
1325750764
1416345d56
15d59cda0
hex9150bb8

152374200 has 96 divisors (see below), whose sum is σ = 515324160. Its totient is φ = 36937600.

The previous prime is 152374199. The next prime is 152374223. The reversal of 152374200 is 2473251.

152374200 is digitally balanced in base 3, 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 (24).

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, 4944 + ... + 18143.

It is an arithmetic number, because the mean of its divisors is an integer number (5367960).

Almost surely, 2152374200 is an apocalyptic number.

152374200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152374200 is an abundant number, since it is smaller than the sum of its proper divisors (362949960).

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

152374200 is a wasteful number, since it uses less digits than its factorization.

152374200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23117 (or 23108 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 152374200 is about 12343.9944912496. The cubic root of 152374200 is about 534.1179164197.

The spelling of 152374200 in words is "one hundred fifty-two million, three hundred seventy-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 23087 46174 69261 92348 115435 138522 184696 230870 253957 277044 346305 461740 507914 554088 577175 692610 761871 923480 1015828 1154350 1269785 1385220 1523742 1731525 2031656 2308700 2539570 2770440 3047484 3463050 3809355 4617400 5079140 6094968 6348925 6926100 7618710 10158280 12697850 13852200 15237420 19046775 25395700 30474840 38093550 50791400 76187100 152374200