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1073534640 = 24356137297
BaseRepresentation
bin111111111111001…
…101011010110000
32202211001012200020
4333333031122300
54144311102030
6254305323440
735413615413
oct7777153260
92684035606
101073534640
11500a89512
1225b636580
131415457c9
14a280db7a
15643a9510
hex3ffcd6b0

1073534640 has 80 divisors (see below), whose sum is σ = 3333843168. Its totient is φ = 285769728.

The previous prime is 1073534633. The next prime is 1073534641. The reversal of 1073534640 is 464353701.

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

It is not an unprimeable number, because it can be changed into a prime (1073534641) 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, 143472 + ... + 150768.

Almost surely, 21073534640 is an apocalyptic number.

1073534640 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 1073534640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666921584).

1073534640 is an abundant number, since it is smaller than the sum of its proper divisors (2260308528).

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

1073534640 is a wasteful number, since it uses less digits than its factorization.

1073534640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7926 (or 7920 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 1073534640 is about 32764.8384705312. The cubic root of 1073534640 is about 1023.9341337436.

The spelling of 1073534640 in words is "one billion, seventy-three million, five hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 613 1226 1839 2452 3065 3678 4904 6130 7297 7356 9195 9808 12260 14594 14712 18390 21891 24520 29188 29424 36485 36780 43782 49040 58376 72970 73560 87564 109455 116752 145940 147120 175128 218910 291880 350256 437820 583760 875640 1751280 4473061 8946122 13419183 17892244 22365305 26838366 35784488 44730610 53676732 67095915 71568976 89461220 107353464 134191830 178922440 214706928 268383660 357844880 536767320 1073534640