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152066640 = 24351157601
BaseRepresentation
bin10010001000001…
…01101001010000
3101121010210012210
421010011221100
5302412113030
623031152120
73524354655
oct1104055120
9347123183
10152066640
1178923a10
1242b15640
132567377b
14162a5c2c
15d53bbb0
hex9105a50

152066640 has 80 divisors (see below), whose sum is σ = 514270656. Its totient is φ = 36864000.

The previous prime is 152066627. The next prime is 152066647. The reversal of 152066640 is 46660251.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 152066598 and 152066607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152066647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26161 + ... + 31440.

Almost surely, 2152066640 is an apocalyptic number.

152066640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152066640 is an abundant number, since it is smaller than the sum of its proper divisors (362204016).

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

152066640 is a wasteful number, since it uses less digits than its factorization.

152066640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57628 (or 57622 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 152066640 is about 12331.5303186588. The cubic root of 152066640 is about 533.7583105800.

The spelling of 152066640 in words is "one hundred fifty-two million, sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 57601 115202 172803 230404 288005 345606 460808 576010 633611 691212 864015 921616 1152020 1267222 1382424 1728030 1900833 2304040 2534444 2764848 3168055 3456060 3801666 4608080 5068888 6336110 6912120 7603332 9504165 10137776 12672220 13824240 15206664 19008330 25344440 30413328 38016660 50688880 76033320 152066640