Search a number
-
+
3940720 = 245731227
BaseRepresentation
bin1111000010000101110000
321102012122121
433002011300
52002100340
6220244024
745331660
oct17020560
97365577
103940720
1122517a3
1213a0614
13a7c8b4
147481a0
1552c94a
hex3c2170

3940720 has 80 divisors (see below), whose sum is σ = 10856448. Its totient is φ = 1301760.

The previous prime is 3940697. The next prime is 3940721. The reversal of 3940720 is 270493.

3940720 = T79 + T80 + ... + T288.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3940721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17247 + ... + 17473.

Almost surely, 23940720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3940720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428224).

3940720 is an abundant number, since it is smaller than the sum of its proper divisors (6915728).

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

3940720 is a wasteful number, since it uses less digits than its factorization.

3940720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 3940720 is about 1985.1246812228. The cubic root of 3940720 is about 157.9520230340.

It can be divided in two parts, 39407 and 20, that multiplied together give a triangular number (788140 = T1255).

The spelling of 3940720 in words is "three million, nine hundred forty thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 227 248 280 310 434 454 496 560 620 868 908 1085 1135 1240 1589 1736 1816 2170 2270 2480 3178 3472 3632 4340 4540 6356 7037 7945 8680 9080 12712 14074 15890 17360 18160 25424 28148 31780 35185 49259 56296 63560 70370 98518 112592 127120 140740 197036 246295 281480 394072 492590 562960 788144 985180 1970360 3940720