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128114010 = 23253147977
BaseRepresentation
bin1111010001011…
…01110101011010
322221001212101100
413220231311122
5230244122020
620413532230
73113644143
oct750556532
9287055340
10128114010
1166353a52
1236aa4076
132070820b
141302caca
15b3a9a90
hex7a2dd5a

128114010 has 96 divisors (see below), whose sum is σ = 351516672. Its totient is φ = 32325120.

The previous prime is 128114003. The next prime is 128114039. The reversal of 128114010 is 10411821.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130642 + ... + 131618.

It is an arithmetic number, because the mean of its divisors is an integer number (3661632).

Almost surely, 2128114010 is an apocalyptic number.

128114010 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 128114010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175758336).

128114010 is an abundant number, since it is smaller than the sum of its proper divisors (223402662).

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

128114010 is a wasteful number, since it uses less digits than its factorization.

128114010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 128114010 is about 11318.7459552726. The cubic root of 128114010 is about 504.1180043038.

Adding to 128114010 its reverse (10411821), we get a palindrome (138525831).

The spelling of 128114010 in words is "one hundred twenty-eight million, one hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 47 62 90 93 94 141 155 186 235 279 282 310 423 465 470 558 705 846 930 977 1395 1410 1457 1954 2115 2790 2914 2931 4230 4371 4885 5862 7285 8742 8793 9770 13113 14570 14655 17586 21855 26226 29310 30287 43710 43965 45919 60574 65565 87930 90861 91838 131130 137757 151435 181722 229595 272583 275514 302870 413271 454305 459190 545166 688785 826542 908610 1362915 1377570 1423489 2066355 2725830 2846978 4132710 4270467 7117445 8540934 12811401 14234890 21352335 25622802 42704670 64057005 128114010