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128452240 = 2457239973
BaseRepresentation
bin1111010100000…
…00011010010000
322221201001100101
413222000122100
5230340432430
620425102144
73116553220
oct752003220
9287631311
10128452240
1166565084
1237027954
13207c6157
14130ba080
15b424dca
hex7a80690

128452240 has 80 divisors (see below), whose sum is σ = 356191488. Its totient is φ = 42121728.

The previous prime is 128452229. The next prime is 128452279. The reversal of 128452240 is 42254821.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1284522402 = 32999955922035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 128452199 and 128452208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7894 + ... + 17866.

Almost surely, 2128452240 is an apocalyptic number.

128452240 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 128452240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178095744).

128452240 is an abundant number, since it is smaller than the sum of its proper divisors (227739248).

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

128452240 is a wasteful number, since it uses less digits than its factorization.

128452240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10016 (or 10010 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 128452240 is about 11333.6772496838. The cubic root of 128452240 is about 504.5612501320.

The spelling of 128452240 in words is "one hundred twenty-eight million, four hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 644 805 920 1288 1610 1840 2576 3220 6440 9973 12880 19946 39892 49865 69811 79784 99730 139622 159568 199460 229379 279244 349055 398920 458758 558488 698110 797840 917516 1116976 1146895 1396220 1605653 1835032 2293790 2792440 3211306 3670064 4587580 5584880 6422612 8028265 9175160 12845224 16056530 18350320 25690448 32113060 64226120 128452240