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3980400 = 2435231107
BaseRepresentation
bin1111001011110001110000
321111020002020
433023301300
52004333100
6221151440
745555444
oct17136160
97436066
103980400
112279596
1213bb580
13a94988
14758824
155395a0
hex3cbc70

3980400 has 120 divisors (see below), whose sum is σ = 13284864. Its totient is φ = 1017600.

The previous prime is 3980399. The next prime is 3980401. The reversal of 3980400 is 40893.

It is an interprime number because it is at equal distance from previous prime (3980399) and next prime (3980401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3980401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37147 + ... + 37253.

Almost surely, 23980400 is an apocalyptic number.

3980400 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 3980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6642432).

3980400 is an abundant number, since it is smaller than the sum of its proper divisors (9304464).

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

3980400 is a wasteful number, since it uses less digits than its factorization.

3980400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3980400 is about 1995.0939827487. The cubic root of 3980400 is about 158.4804050517.

The spelling of 3980400 in words is "three million, nine hundred eighty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 107 120 124 150 155 186 200 214 240 248 300 310 321 372 400 428 465 496 535 600 620 642 744 775 856 930 1070 1200 1240 1284 1488 1550 1605 1712 1860 2140 2325 2480 2568 2675 3100 3210 3317 3720 4280 4650 5136 5350 6200 6420 6634 7440 8025 8560 9300 9951 10700 12400 12840 13268 16050 16585 18600 19902 21400 25680 26536 32100 33170 37200 39804 42800 49755 53072 64200 66340 79608 82925 99510 128400 132680 159216 165850 199020 248775 265360 331700 398040 497550 663400 796080 995100 1326800 1990200 3980400