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146903970 = 23517714057
BaseRepresentation
bin10001100000110…
…01001110100010
3101020102111100210
420300121032202
5300101411340
622324354550
73432443313
oct1060311642
9336374323
10146903970
1175a18144
1241245a56
1324586935
141572060a
15cd6c180
hex8c193a2

146903970 has 64 divisors (see below), whose sum is σ = 378660096. Its totient is φ = 36341760.

The previous prime is 146903929. The next prime is 146904007. The reversal of 146903970 is 79309641.

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 31 ways as a sum of consecutive naturals, for example, 34182 + ... + 38238.

It is an arithmetic number, because the mean of its divisors is an integer number (5916564).

Almost surely, 2146903970 is an apocalyptic number.

146903970 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 146903970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189330048).

146903970 is an abundant number, since it is smaller than the sum of its proper divisors (231756126).

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

146903970 is a wasteful number, since it uses less digits than its factorization.

146903970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155.

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 146903970 is about 12120.3947955502. The cubic root of 146903970 is about 527.6482606248.

The spelling of 146903970 in words is "one hundred forty-six million, nine hundred three thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 71 85 102 142 170 213 255 355 426 510 710 1065 1207 2130 2414 3621 4057 6035 7242 8114 12070 12171 18105 20285 24342 36210 40570 60855 68969 121710 137938 206907 288047 344845 413814 576094 689690 864141 1034535 1440235 1728282 2069070 2880470 4320705 4896799 8641410 9793598 14690397 24483995 29380794 48967990 73451985 146903970