Search a number
-
+
3020312520 = 2332561137537
BaseRepresentation
bin1011010000000110…
…0100111111001000
321210111020202212200
42310001210333020
522141200000040
61215411440200
7134563142601
oct26401447710
97714222780
103020312520
11130a984555
127035b6060
13391976c94
142091b2da8
1512a257630
hexb4064fc8

3020312520 has 96 divisors (see below), whose sum is σ = 9977006520. Its totient is φ = 792207360.

The previous prime is 3020312509. The next prime is 3020312521. The reversal of 3020312520 is 252130203.

3020312520 is a `hidden beast` number, since 302 + 0 + 312 + 52 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2152774404 + 867538116 = 46398^2 + 29454^2 .

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 = 3020312493 and 3020312502.

It is not an unprimeable number, because it can be changed into a prime (3020312521) 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, 46809 + ... + 90728.

Almost surely, 23020312520 is an apocalyptic number.

3020312520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3020312520 is an abundant number, since it is smaller than the sum of its proper divisors (6956694000).

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

3020312520 is a wasteful number, since it uses less digits than its factorization.

3020312520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137615 (or 137608 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3020312520 is about 54957.3700244107. The cubic root of 3020312520 is about 1445.4973316353.

Adding to 3020312520 its reverse (252130203), we get a palindrome (3272442723).

The spelling of 3020312520 in words is "three billion, twenty million, three hundred twelve thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 3660 4392 5490 7320 10980 21960 137537 275074 412611 550148 687685 825222 1100296 1237833 1375370 1650444 2063055 2475666 2750740 3300888 4126110 4951332 5501480 6189165 8252220 8389757 9902664 12378330 16504440 16779514 24756660 25169271 33559028 41948785 49513320 50338542 67118056 75507813 83897570 100677084 125846355 151015626 167795140 201354168 251692710 302031252 335590280 377539065 503385420 604062504 755078130 1006770840 1510156260 3020312520