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146727690 = 23519594363
BaseRepresentation
bin10001011111011…
…10001100001010
3101020002112112220
420233232030022
5300030241230
622320514510
73431110344
oct1057561412
9336075486
10146727690
117590775a
124117ba36
1324524625
14156b6294
15cd34d10
hex8bee30a

146727690 has 64 divisors (see below), whose sum is σ = 377049600. Its totient is φ = 36431424.

The previous prime is 146727689. The next prime is 146727719. The reversal of 146727690 is 96727641.

146727690 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1467276902 = 43058030025472200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31449 + ... + 35811.

It is an arithmetic number, because the mean of its divisors is an integer number (5891400).

Almost surely, 2146727690 is an apocalyptic number.

146727690 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 146727690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188524800).

146727690 is an abundant number, since it is smaller than the sum of its proper divisors (230321910).

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

146727690 is a wasteful number, since it uses less digits than its factorization.

146727690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4451.

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 146727690 is about 12113.1205723381. The cubic root of 146727690 is about 527.4371225489.

The spelling of 146727690 in words is "one hundred forty-six million, seven hundred twenty-seven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 59 95 114 118 177 190 285 295 354 570 590 885 1121 1770 2242 3363 4363 5605 6726 8726 11210 13089 16815 21815 26178 33630 43630 65445 82897 130890 165794 248691 257417 414485 497382 514834 772251 828970 1243455 1287085 1544502 2486910 2574170 3861255 4890923 7722510 9781846 14672769 24454615 29345538 48909230 73363845 146727690