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3780107220 = 2235371702751
BaseRepresentation
bin1110000101001111…
…1101101111010100
3100202102221100021010
43201103331233110
530220201412340
61423032452220
7162450244521
oct34123755724
910672840233
103780107220
11166a85455a
12895b4a070
134831c0a46
1427c074148
15171cdbb80
hexe14fdbd4

3780107220 has 48 divisors (see below), whose sum is σ = 10870368768. Its totient is φ = 980784000.

The previous prime is 3780107213. The next prime is 3780107239. The reversal of 3780107220 is 227010873.

It is a super-3 number, since 3×37801072203 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 849156 + ... + 853595.

It is an arithmetic number, because the mean of its divisors is an integer number (226466016).

Almost surely, 23780107220 is an apocalyptic number.

3780107220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3780107220 is an abundant number, since it is smaller than the sum of its proper divisors (7090261548).

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

3780107220 is a wasteful number, since it uses less digits than its factorization.

3780107220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702800 (or 1702798 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 3780107220 is about 61482.5765562895. The cubic root of 3780107220 is about 1557.7629589668.

The spelling of 3780107220 in words is "three billion, seven hundred eighty million, one hundred seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 1702751 3405502 5108253 6811004 8513755 10216506 17027510 20433012 25541265 34055020 51082530 63001787 102165060 126003574 189005361 252007148 315008935 378010722 630017870 756021444 945026805 1260035740 1890053610 3780107220