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3721980 = 2235174189
BaseRepresentation
bin1110001100101011111100
321000002121010
432030223330
51423100410
6211435220
743431153
oct16145374
97002533
103721980
112112419
1212b5b10
13a04172
146cc59a
154d7c20
hex38cafc

3721980 has 96 divisors (see below), whose sum is σ = 11430720. Its totient is φ = 901120.

The previous prime is 3721973. The next prime is 3721981. The reversal of 3721980 is 891273.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3721981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41776 + ... + 41864.

It is an arithmetic number, because the mean of its divisors is an integer number (119070).

Almost surely, 23721980 is an apocalyptic number.

3721980 is a gapful number since it is divisible by the number (30) 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 3721980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715360).

3721980 is an abundant number, since it is smaller than the sum of its proper divisors (7708740).

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

3721980 is a wasteful number, since it uses less digits than its factorization.

3721980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 3721980 is about 1929.2433750048. The cubic root of 3721980 is about 154.9737034820.

The spelling of 3721980 in words is "three million, seven hundred twenty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 41 51 60 68 82 85 89 102 123 164 170 178 204 205 246 255 267 340 356 410 445 492 510 534 615 697 820 890 1020 1068 1230 1335 1394 1513 1780 2091 2460 2670 2788 3026 3485 3649 4182 4539 5340 6052 6970 7298 7565 8364 9078 10455 10947 13940 14596 15130 18156 18245 20910 21894 22695 30260 36490 41820 43788 45390 54735 62033 72980 90780 109470 124066 186099 218940 248132 310165 372198 620330 744396 930495 1240660 1860990 3721980