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103730367640 = 2356314109761
BaseRepresentation
bin110000010011011001…
…1111100110010011000
3100220202010222122122011
41200212303330302120
53144414433231030
6115353021435304
710331351401624
oct1404663746230
9326663878564
10103730367640
113aaa00a7569
121812b10bb34
139a21606783
145040668184
152a7199db2a
hex1826cfcc98

103730367640 has 32 divisors (see below), whose sum is σ = 233763262560. Its totient is φ = 41426380800.

The previous prime is 103730367607. The next prime is 103730367649. The reversal of 103730367640 is 46763037301.

It is a super-3 number, since 3×1037303676403 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 103730367593 and 103730367602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103730367649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2029641 + ... + 2080120.

It is an arithmetic number, because the mean of its divisors is an integer number (7305101955).

Almost surely, 2103730367640 is an apocalyptic number.

103730367640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103730367640 is an abundant number, since it is smaller than the sum of its proper divisors (130032894920).

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

103730367640 is a wasteful number, since it uses less digits than its factorization.

103730367640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4110403 (or 4110399 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 40.

The spelling of 103730367640 in words is "one hundred three billion, seven hundred thirty million, three hundred sixty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 631 1262 2524 3155 5048 6310 12620 25240 4109761 8219522 16439044 20548805 32878088 41097610 82195220 164390440 2593259191 5186518382 10373036764 12966295955 20746073528 25932591910 51865183820 103730367640