Search a number
-
+
70002720 = 25325173281
BaseRepresentation
bin1000010110000…
…10100000100000
311212201111200100
410023002200200
5120410041340
610540222400
71510004364
oct413024040
9155644610
1070002720
1136573097
121b53aa00
131166cb38
1494232a4
15622b830
hex42c2820

70002720 has 144 divisors (see below), whose sum is σ = 241120152. Its totient is φ = 18493440.

The previous prime is 70002697. The next prime is 70002721. The reversal of 70002720 is 2720007.

It can be written as a sum of positive squares in 4 ways, for example, as 68757264 + 1245456 = 8292^2 + 1116^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 70002693 and 70002702.

It is not an unprimeable number, because it can be changed into a prime (70002721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248980 + ... + 249260.

Almost surely, 270002720 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 70002720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120560076).

70002720 is an abundant number, since it is smaller than the sum of its proper divisors (171117432).

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

70002720 is a wasteful number, since it uses less digits than its factorization.

70002720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 70002720 is about 8366.7628148526. The cubic root of 70002720 is about 412.1338679574.

Adding to 70002720 its reverse (2720007), we get a palindrome (72722727).

The spelling of 70002720 in words is "seventy million, two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 173 180 240 281 288 346 360 480 519 562 692 720 843 865 1038 1124 1384 1405 1440 1557 1686 1730 2076 2248 2529 2595 2768 2810 3114 3372 3460 4152 4215 4496 5058 5190 5536 5620 6228 6744 6920 7785 8304 8430 8992 10116 10380 11240 12456 12645 13488 13840 15570 16608 16860 20232 20760 22480 24912 25290 26976 27680 31140 33720 40464 41520 44960 48613 49824 50580 62280 67440 80928 83040 97226 101160 124560 134880 145839 194452 202320 243065 249120 291678 388904 404640 437517 486130 583356 729195 777808 875034 972260 1166712 1458390 1555616 1750068 1944520 2187585 2333424 2916780 3500136 3889040 4375170 4666848 5833560 7000272 7778080 8750340 11667120 14000544 17500680 23334240 35001360 70002720