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128201970 = 235132711213
BaseRepresentation
bin1111010010000…
…11010011110010
322221020100001010
413221003103302
5230304430340
620415451350
73114461451
oct751032362
9287210033
10128201970
1166404046
1236b26b56
1320739270
1413052b98
15b3c5b80
hex7a434f2

128201970 has 64 divisors (see below), whose sum is σ = 332849664. Its totient is φ = 31415040.

The previous prime is 128201951. The next prime is 128201989. The reversal of 128201970 is 79102821.

It is an interprime number because it is at equal distance from previous prime (128201951) and next prime (128201989).

It is a super-2 number, since 2×1282019702 = 32871490223761800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 105084 + ... + 106296.

It is an arithmetic number, because the mean of its divisors is an integer number (5200776).

Almost surely, 2128201970 is an apocalyptic number.

128201970 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 128201970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166424832).

128201970 is an abundant number, since it is smaller than the sum of its proper divisors (204647694).

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

128201970 is a wasteful number, since it uses less digits than its factorization.

128201970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507.

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 128201970 is about 11322.6308780248. The cubic root of 128201970 is about 504.2333496784.

The spelling of 128201970 in words is "one hundred twenty-eight million, two hundred one thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 271 390 542 813 1213 1355 1626 2426 2710 3523 3639 4065 6065 7046 7278 8130 10569 12130 15769 17615 18195 21138 31538 35230 36390 47307 52845 78845 94614 105690 157690 236535 328723 473070 657446 986169 1643615 1972338 3287230 4273399 4930845 8546798 9861690 12820197 21366995 25640394 42733990 64100985 128201970