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146900380 = 225114714207
BaseRepresentation
bin10001100000110…
…00010110011100
3101020102022102211
420300120112130
5300101303010
622324330204
73432426664
oct1060302634
9336368384
10146900380
1175a15480
1241243964
1324585103
141571d1a4
15cd6b08a
hex8c1859c

146900380 has 48 divisors (see below), whose sum is σ = 343719936. Its totient is φ = 52278080.

The previous prime is 146900371. The next prime is 146900393. The reversal of 146900380 is 83009641.

146900380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3237 + ... + 17443.

It is an arithmetic number, because the mean of its divisors is an integer number (7160832).

Almost surely, 2146900380 is an apocalyptic number.

146900380 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 146900380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171859968).

146900380 is an abundant number, since it is smaller than the sum of its proper divisors (196819556).

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

146900380 is a wasteful number, since it uses less digits than its factorization.

146900380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14274 (or 14272 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 146900380 is about 12120.2466971593. The cubic root of 146900380 is about 527.6439624141.

The spelling of 146900380 in words is "one hundred forty-six million, nine hundred thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2585 5170 10340 14207 28414 56828 71035 142070 156277 284140 312554 625108 667729 781385 1335458 1562770 2670916 3125540 3338645 6677290 7345019 13354580 14690038 29380076 36725095 73450190 146900380