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1972740 = 2235721161
BaseRepresentation
bin111100001101000000100
310201020002110
413201220010
51001111430
6110141020
722524300
oct7415004
93636073
101972740
111128170
127b1770
13540c03
14394d00
1528e7b0
hex1e1a04

1972740 has 144 divisors (see below), whose sum is σ = 7124544. Its totient is φ = 403200.

The previous prime is 1972739. The next prime is 1972741. The reversal of 1972740 is 472791.

It is an interprime number because it is at equal distance from previous prime (1972739) and next prime (1972741).

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

It is a junction number, because it is equal to n+sod(n) for n = 1972698 and 1972707.

It is not an unprimeable number, because it can be changed into a prime (1972741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32310 + ... + 32370.

It is an arithmetic number, because the mean of its divisors is an integer number (49476).

21972740 is an apocalyptic number.

1972740 is a gapful number since it is divisible by the number (10) 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 1972740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562272).

1972740 is an abundant number, since it is smaller than the sum of its proper divisors (5151804).

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

1972740 is a wasteful number, since it uses less digits than its factorization.

1972740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 1972740 is about 1404.5426301825. The cubic root of 1972740 is about 125.4170602716.

The spelling of 1972740 in words is "one million, nine hundred seventy-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 61 66 70 77 84 98 105 110 122 132 140 147 154 165 183 196 210 220 231 244 245 294 305 308 330 366 385 420 427 462 490 539 588 610 660 671 732 735 770 854 915 924 980 1078 1155 1220 1281 1342 1470 1540 1617 1708 1830 2013 2135 2156 2310 2562 2684 2695 2940 2989 3234 3355 3660 4026 4270 4620 4697 5124 5390 5978 6405 6468 6710 8052 8085 8540 8967 9394 10065 10780 11956 12810 13420 14091 14945 16170 17934 18788 20130 23485 25620 28182 29890 32340 32879 35868 40260 44835 46970 56364 59780 65758 70455 89670 93940 98637 131516 140910 164395 179340 197274 281820 328790 394548 493185 657580 986370 1972740