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119966640 = 24353131597
BaseRepresentation
bin1110010011010…
…00101110110000
322100201221021220
413021220232300
5221202413030
615523145040
72654461653
oct711505660
9270657256
10119966640
1161799792
1234215180
131bb149a1
1411d0b89a
15a7eaa10
hex7268bb0

119966640 has 80 divisors (see below), whose sum is σ = 373318368. Its totient is φ = 31868928.

The previous prime is 119966633. The next prime is 119966657. The reversal of 119966640 is 46669911.

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

It is a junction number, because it is equal to n+sod(n) for n = 119966592 and 119966601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74322 + ... + 75918.

Almost surely, 2119966640 is an apocalyptic number.

119966640 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 119966640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186659184).

119966640 is an abundant number, since it is smaller than the sum of its proper divisors (253351728).

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

119966640 is a wasteful number, since it uses less digits than its factorization.

119966640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 119966640 is about 10952.9283755533. The cubic root of 119966640 is about 493.1967034995.

The spelling of 119966640 in words is "one hundred nineteen million, nine hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 313 626 939 1252 1565 1597 1878 2504 3130 3194 3756 4695 4791 5008 6260 6388 7512 7985 9390 9582 12520 12776 15024 15970 18780 19164 23955 25040 25552 31940 37560 38328 47910 63880 75120 76656 95820 127760 191640 383280 499861 999722 1499583 1999444 2499305 2999166 3998888 4998610 5998332 7497915 7997776 9997220 11996664 14995830 19994440 23993328 29991660 39988880 59983320 119966640