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772842140 = 225714937049
BaseRepresentation
bin101110000100001…
…010001010011100
31222212020110002222
4232010022022130
53040321422030
6204404404512
725103023040
oct5604121234
91885213088
10772842140
11367281814
121969a6738
13c4164755
14748da020
1547cb03e5
hex2e10a29c

772842140 has 48 divisors (see below), whose sum is σ = 1867320000. Its totient is φ = 263188992.

The previous prime is 772842073. The next prime is 772842163. The reversal of 772842140 is 41248277.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 772842140.

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, 2336 + ... + 39384.

It is an arithmetic number, because the mean of its divisors is an integer number (38902500).

Almost surely, 2772842140 is an apocalyptic number.

772842140 is a gapful number since it is divisible by the number (70) 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 772842140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933660000).

772842140 is an abundant number, since it is smaller than the sum of its proper divisors (1094477860).

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

772842140 is a wasteful number, since it uses less digits than its factorization.

772842140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37214 (or 37212 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 35.

The square root of 772842140 is about 27800.0384891820. The cubic root of 772842140 is about 917.6919698195.

The spelling of 772842140 in words is "seven hundred seventy-two million, eight hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 149 298 596 745 1043 1490 2086 2980 4172 5215 10430 20860 37049 74098 148196 185245 259343 370490 518686 740980 1037372 1296715 2593430 5186860 5520301 11040602 22081204 27601505 38642107 55203010 77284214 110406020 154568428 193210535 386421070 772842140