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1372986240 = 27352632719
BaseRepresentation
bin101000111010110…
…0001101110000000
310112200111221001020
41101311201232000
510302441024430
6344123505440
746011122223
oct12165415600
93480457036
101372986240
1164501897a
12323988280
1318b5b0ac2
14d04bd5ba
158080ab10
hex51d61b80

1372986240 has 128 divisors (see below), whose sum is σ = 4394649600. Its totient is φ = 364603392.

The previous prime is 1372986239. The next prime is 1372986257. The reversal of 1372986240 is 426892731.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1372986192 and 1372986201.

It is a congruent number.

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, 503601 + ... + 506319.

It is an arithmetic number, because the mean of its divisors is an integer number (34333200).

Almost surely, 21372986240 is an apocalyptic number.

1372986240 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 1372986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197324800).

1372986240 is an abundant number, since it is smaller than the sum of its proper divisors (3021663360).

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

1372986240 is a wasteful number, since it uses less digits than its factorization.

1372986240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 1372986240 is about 37053.8289519450. The cubic root of 1372986240 is about 1111.4469240372.

The spelling of 1372986240 in words is "one billion, three hundred seventy-two million, nine hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 263 320 384 480 526 640 789 960 1052 1315 1578 1920 2104 2630 2719 3156 3945 4208 5260 5438 6312 7890 8157 8416 10520 10876 12624 13595 15780 16314 16832 21040 21752 25248 27190 31560 32628 33664 40785 42080 43504 50496 54380 63120 65256 81570 84160 87008 100992 108760 126240 130512 163140 168320 174016 217520 252480 261024 326280 348032 435040 504960 522048 652560 715097 870080 1044096 1305120 1430194 1740160 2145291 2610240 2860388 3575485 4290582 5220480 5720776 7150970 8581164 10726455 11441552 14301940 17162328 21452910 22883104 28603880 34324656 42905820 45766208 57207760 68649312 85811640 91532416 114415520 137298624 171623280 228831040 274597248 343246560 457662080 686493120 1372986240