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1197405040 = 245133493299
BaseRepresentation
bin100011101011110…
…1111001101110000
310002110010110220211
41013113233031300
54423013430130
6314452313504
741446526536
oct10727571560
93073113824
101197405040
115649a4147
12295012894
131610c62c0
14b5056156
15701c6a2a
hex475ef370

1197405040 has 80 divisors (see below), whose sum is σ = 3007620000. Its totient is φ = 440718336.

The previous prime is 1197405031. The next prime is 1197405103. The reversal of 1197405040 is 405047911.

1197405040 = 42602 + 42612 + ... + 43242.

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 = 1197404993 and 1197405011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361311 + ... + 364609.

It is an arithmetic number, because the mean of its divisors is an integer number (37595250).

Almost surely, 21197405040 is an apocalyptic number.

1197405040 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 1197405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503810000).

1197405040 is an abundant number, since it is smaller than the sum of its proper divisors (1810214960).

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

1197405040 is a wasteful number, since it uses less digits than its factorization.

1197405040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 1197405040 is about 34603.5408592820. The cubic root of 1197405040 is about 1061.8920284659.

The spelling of 1197405040 in words is "one billion, one hundred ninety-seven million, four hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 349 520 698 1040 1396 1745 2792 3299 3490 4537 5584 6598 6980 9074 13196 13960 16495 18148 22685 26392 27920 32990 36296 42887 45370 52784 65980 72592 85774 90740 131960 171548 181480 214435 263920 343096 362960 428870 686192 857740 1151351 1715480 2302702 3430960 4605404 5756755 9210808 11513510 14967563 18421616 23027020 29935126 46054040 59870252 74837815 92108080 119740504 149675630 239481008 299351260 598702520 1197405040