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146550030 = 2351117151173
BaseRepresentation
bin10001011110000…
…10110100001110
3101012202111211220
420233002310032
5300004100110
622313024210
73426440364
oct1057026416
9335674756
10146550030
11757a6230
12410b5066
13244917c3
141566b634
15ccec370
hex8bc2d0e

146550030 has 128 divisors (see below), whose sum is σ = 411319296. Its totient is φ = 33024000.

The previous prime is 146550023. The next prime is 146550037. The reversal of 146550030 is 30055641.

It is an interprime number because it is at equal distance from previous prime (146550023) and next prime (146550037).

It is a super-2 number, since 2×1465500302 = 42953822586001800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146550037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 847024 + ... + 847196.

It is an arithmetic number, because the mean of its divisors is an integer number (3213432).

Almost surely, 2146550030 is an apocalyptic number.

146550030 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 146550030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205659648).

146550030 is an abundant number, since it is smaller than the sum of its proper divisors (264769266).

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

146550030 is a wasteful number, since it uses less digits than its factorization.

146550030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 146550030 is about 12105.7849807437. The cubic root of 146550030 is about 527.2241604187.

The spelling of 146550030 in words is "one hundred forty-six million, five hundred fifty thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 151 165 170 173 187 255 302 330 346 374 453 510 519 561 755 865 906 935 1038 1122 1510 1661 1730 1870 1903 2265 2567 2595 2805 2941 3322 3806 4530 4983 5134 5190 5610 5709 5882 7701 8305 8823 9515 9966 11418 12835 14705 15402 16610 17646 19030 24915 25670 26123 28237 28545 29410 32351 38505 44115 49830 52246 56474 57090 64702 77010 78369 84711 88230 97053 130615 141185 156738 161755 169422 194106 261230 282370 287353 323510 391845 423555 444091 485265 574706 783690 847110 862059 888182 970530 1332273 1436765 1724118 2220455 2664546 2873530 4310295 4440910 4885001 6661365 8620590 9770002 13322730 14655003 24425005 29310006 48850010 73275015 146550030