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1972605136 = 241631933919
BaseRepresentation
bin111010110010011…
…1001000011010000
312002110210201112111
41311210321003100
513014441331021
6523423435104
766611603245
oct16544710320
95073721474
101972605136
11922536487
12470755a94
132558a5098
14149da75cc
15b82a08e1
hex759390d0

1972605136 has 40 divisors (see below), whose sum is σ = 3866280320. Its totient is φ = 974923776.

The previous prime is 1972605121. The next prime is 1972605157. The reversal of 1972605136 is 6315062791.

It is a congruent number.

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, 501385 + ... + 505303.

It is an arithmetic number, because the mean of its divisors is an integer number (96657008).

Almost surely, 21972605136 is an apocalyptic number.

1972605136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1972605136 is a deficient number, since it is larger than the sum of its proper divisors (1893675184).

1972605136 is a wasteful number, since it uses less digits than its factorization.

1972605136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4283 (or 4277 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 1972605136 is about 44414.0195884137. The cubic root of 1972605136 is about 1254.1420221091.

The spelling of 1972605136 in words is "one billion, nine hundred seventy-two million, six hundred five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 163 193 326 386 652 772 1304 1544 2608 3088 3919 7838 15676 31352 31459 62704 62918 125836 251672 503344 638797 756367 1277594 1512734 2555188 3025468 5110376 6050936 10220752 12101872 123287821 246575642 493151284 986302568 1972605136