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8145620 = 225783701
BaseRepresentation
bin11111000100101011010100
3120022211200122
4133010223110
54041124440
6450331112
7126144110
oct37045324
916284618
108145620
114663a1a
122889a98
1318c27c2
141120740
15aad7b5
hex7c4ad4

8145620 has 48 divisors (see below), whose sum is σ = 19813248. Its totient is φ = 2755200.

The previous prime is 8145583. The next prime is 8145629. The reversal of 8145620 is 265418.

8145620 = T447 + T448 + ... + T516.

It is a super-2 number, since 2×81456202 = 132702250368800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8145620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8145629) 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, 11270 + ... + 11970.

It is an arithmetic number, because the mean of its divisors is an integer number (412776).

Almost surely, 28145620 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 8145620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9906624).

8145620 is an abundant number, since it is smaller than the sum of its proper divisors (11667628).

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

8145620 is a wasteful number, since it uses less digits than its factorization.

8145620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 8145620 is about 2854.0532580875. The cubic root of 8145620 is about 201.2062106545.

The spelling of 8145620 in words is "eight million, one hundred forty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 701 830 1162 1402 1660 2324 2804 2905 3505 4907 5810 7010 9814 11620 14020 19628 24535 49070 58183 98140 116366 232732 290915 407281 581830 814562 1163660 1629124 2036405 4072810 8145620