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1972847040 = 26356613109
BaseRepresentation
bin111010110010111…
…0100000111000000
312002111021000100220
41311211310013000
513020022101130
6523432543040
766613631433
oct16545640700
95074230326
101972847040
119226911aa
12470851a80
1325595b218
1414a02b81a
15b82ec410
hex759741c0

1972847040 has 112 divisors (see below), whose sum is σ = 6275283360. Its totient is φ = 525127680.

The previous prime is 1972847033. The next prime is 1972847047. The reversal of 1972847040 is 407482791.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1972847033) and next prime (1972847047).

It is a junction number, because it is equal to n+sod(n) for n = 1972846983 and 1972847001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972847047) 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, 633006 + ... + 636114.

Almost surely, 21972847040 is an apocalyptic number.

1972847040 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 1972847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137641680).

1972847040 is an abundant number, since it is smaller than the sum of its proper divisors (4302436320).

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

1972847040 is a wasteful number, since it uses less digits than its factorization.

1972847040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3790 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 1972847040 is about 44416.7427891780. The cubic root of 1972847040 is about 1254.1932858864.

The spelling of 1972847040 in words is "one billion, nine hundred seventy-two million, eight hundred forty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 661 960 1322 1983 2644 3109 3305 3966 5288 6218 6610 7932 9327 9915 10576 12436 13220 15545 15864 18654 19830 21152 24872 26440 31090 31728 37308 39660 42304 46635 49744 52880 62180 63456 74616 79320 93270 99488 105760 124360 126912 149232 158640 186540 198976 211520 248720 298464 317280 373080 497440 596928 634560 746160 994880 1492320 2055049 2984640 4110098 6165147 8220196 10275245 12330294 16440392 20550490 24660588 30825735 32880784 41100980 49321176 61651470 65761568 82201960 98642352 123302940 131523136 164403920 197284704 246605880 328807840 394569408 493211760 657615680 986423520 1972847040