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42702660 = 223357111379
BaseRepresentation
bin1010001011100…
…1011101000100
32222100112001000
42202321131010
541412441120
64123133300
71025652360
oct242713504
988315030
1042702660
1122117160
1212374230
138b01a60
1459582a0
153b37990
hex28b9744

42702660 has 384 divisors, whose sum is σ = 180633600. Its totient is φ = 8087040.

The previous prime is 42702659. The next prime is 42702679. The reversal of 42702660 is 6620724.

42702660 = T1000 + T1001 + ... + T1078.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 540501 + ... + 540579.

It is an arithmetic number, because the mean of its divisors is an integer number (470400).

Almost surely, 242702660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42702660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90316800).

42702660 is an abundant number, since it is smaller than the sum of its proper divisors (137930940).

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

42702660 is a wasteful number, since it uses less digits than its factorization.

42702660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 42702660 is about 6534.7272322569. The cubic root of 42702660 is about 349.5304178798.

The spelling of 42702660 in words is "forty-two million, seven hundred two thousand, six hundred sixty".