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146378050 = 25271353607
BaseRepresentation
bin10001011100110…
…00110101000010
3101012102202221021
420232120311002
5244433044200
622305220054
73425123110
oct1056306502
9335382837
10146378050
1175698aa5
124103162a
1324431440
1415624ab0
15ccb641a
hex8b98d42

146378050 has 96 divisors (see below), whose sum is σ = 341978112. Its totient is φ = 45377280.

The previous prime is 146377991. The next prime is 146378093. The reversal of 146378050 is 50873641.

It is a junction number, because it is equal to n+sod(n) for n = 146377997 and 146378015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240847 + ... + 241453.

It is an arithmetic number, because the mean of its divisors is an integer number (3562272).

Almost surely, 2146378050 is an apocalyptic number.

146378050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146378050 is an abundant number, since it is smaller than the sum of its proper divisors (195600062).

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

146378050 is a wasteful number, since it uses less digits than its factorization.

146378050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 146378050 is about 12098.6796800312. The cubic root of 146378050 is about 527.0178429292.

The spelling of 146378050 in words is "one hundred forty-six million, three hundred seventy-eight thousand, fifty".

Divisors: 1 2 5 7 10 13 14 25 26 35 50 53 65 70 91 106 130 175 182 265 325 350 371 455 530 607 650 689 742 910 1214 1325 1378 1855 2275 2650 3035 3445 3710 4249 4550 4823 6070 6890 7891 8498 9275 9646 15175 15782 17225 18550 21245 24115 30350 32171 34450 39455 42490 48230 55237 64342 78910 106225 110474 120575 160855 197275 212450 225197 241150 276185 321710 394550 418223 450394 552370 804275 836446 1125985 1380925 1608550 2091115 2251970 2761850 2927561 4182230 5629925 5855122 10455575 11259850 14637805 20911150 29275610 73189025 146378050