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128450952 = 233272231583
BaseRepresentation
bin1111010100000…
…00000110001000
322221200222120200
413222000012020
5230340412302
620425052200
73116546400
oct752000610
9287628520
10128450952
1166564113
1237027060
13207c56a6
14130b9800
15b42481c
hex7a80188

128450952 has 144 divisors (see below), whose sum is σ = 422547840. Its totient is φ = 35082432.

The previous prime is 128450921. The next prime is 128450983. The reversal of 128450952 is 259054821.

It is an interprime number because it is at equal distance from previous prime (128450921) and next prime (128450983).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80353 + ... + 81935.

It is an arithmetic number, because the mean of its divisors is an integer number (2934360).

Almost surely, 2128450952 is an apocalyptic number.

128450952 is a gapful number since it is divisible by the number (12) 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 128450952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211273920).

128450952 is an abundant number, since it is smaller than the sum of its proper divisors (294096888).

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

128450952 is a wasteful number, since it uses less digits than its factorization.

128450952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 128450952 is about 11333.6204277362. The cubic root of 128450952 is about 504.5595637022.

The spelling of 128450952 in words is "one hundred twenty-eight million, four hundred fifty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 49 56 63 69 72 84 92 98 126 138 147 161 168 184 196 207 252 276 294 322 392 414 441 483 504 552 588 644 828 882 966 1127 1176 1288 1449 1583 1656 1764 1932 2254 2898 3166 3381 3528 3864 4508 4749 5796 6332 6762 9016 9498 10143 11081 11592 12664 13524 14247 18996 20286 22162 27048 28494 33243 36409 37992 40572 44324 56988 66486 72818 77567 81144 88648 99729 109227 113976 132972 145636 155134 199458 218454 232701 254863 265944 291272 310268 327681 398916 436908 465402 509726 620536 655362 698103 764589 797832 873816 930804 1019452 1310724 1396206 1529178 1784041 1861608 2038904 2293767 2621448 2792412 3058356 3568082 4587534 5352123 5584824 6116712 7136164 9175068 10704246 14272328 16056369 18350136 21408492 32112738 42816984 64225476 128450952