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148986300 = 2235217131223
BaseRepresentation
bin10001110000101…
…01100110111100
3101101100021210010
420320111212330
5301120030200
622441143220
73456235251
oct1070254674
9341307703
10148986300
117710a681
1241a8ab10
1324b35698
1415b03428
15d12e150
hex8e159bc

148986300 has 144 divisors (see below), whose sum is σ = 461970432. Its totient is φ = 36940800.

The previous prime is 148986293. The next prime is 148986301. The reversal of 148986300 is 3689841.

148986300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148986301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 667989 + ... + 668211.

It is an arithmetic number, because the mean of its divisors is an integer number (3208128).

Almost surely, 2148986300 is an apocalyptic number.

148986300 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 148986300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230985216).

148986300 is an abundant number, since it is smaller than the sum of its proper divisors (312984132).

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

148986300 is a wasteful number, since it uses less digits than its factorization.

148986300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 148986300 is about 12205.9944289681. The cubic root of 148986300 is about 530.1296704200.

The spelling of 148986300 in words is "one hundred forty-eight million, nine hundred eighty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 131 150 170 204 223 255 262 300 340 393 425 446 510 524 655 669 786 850 892 1020 1115 1275 1310 1338 1572 1700 1965 2227 2230 2550 2620 2676 3275 3345 3791 3930 4454 4460 5100 5575 6550 6681 6690 7582 7860 8908 9825 11135 11150 11373 13100 13362 13380 15164 16725 18955 19650 22270 22300 22746 26724 29213 33405 33450 37910 39300 44540 45492 55675 56865 58426 66810 66900 75820 87639 94775 111350 113730 116852 133620 146065 167025 175278 189550 222700 227460 284325 292130 334050 350556 379100 438195 496621 568650 584260 668100 730325 876390 993242 1137300 1460650 1489863 1752780 1986484 2190975 2483105 2921300 2979726 4381950 4966210 5959452 7449315 8763900 9932420 12415525 14898630 24831050 29797260 37246575 49662100 74493150 148986300