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1072190640 = 24354467461
BaseRepresentation
bin111111111010000…
…101010010110000
32202201111221001110
4333322011102300
54143440100030
6254220433320
735366320143
oct7772052260
92681457043
101072190640
11500250774
1225b0a8840
13141194b41
14a258005a
15641e11b0
hex3fe854b0

1072190640 has 40 divisors (see below), whose sum is σ = 3323791728. Its totient is φ = 285917440.

The previous prime is 1072190627. The next prime is 1072190659. The reversal of 1072190640 is 460912701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10721906402 = 2299185537007219200, which contains 22 as substring.

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 = 1072190598 and 1072190607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2233491 + ... + 2233970.

Almost surely, 21072190640 is an apocalyptic number.

1072190640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1072190640 is an abundant number, since it is smaller than the sum of its proper divisors (2251601088).

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

1072190640 is a wasteful number, since it uses less digits than its factorization.

1072190640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4467477 (or 4467471 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 1072190640 is about 32744.3222559271. The cubic root of 1072190640 is about 1023.5066542390.

The spelling of 1072190640 in words is "one billion, seventy-two million, one hundred ninety 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 4467461 8934922 13402383 17869844 22337305 26804766 35739688 44674610 53609532 67011915 71479376 89349220 107219064 134023830 178698440 214438128 268047660 357396880 536095320 1072190640