Search a number
-
+
30392787680 = 2551767316603
BaseRepresentation
bin11100010011100011…
…010010001011100000
32220110010101120202222
4130103203102023200
5444221023201210
621543502530212
72124106301303
oct342343221340
986403346688
1030392787680
1111986a33252
125a82596968
132b3487c948
141684692b3a
15bcd365655
hex7138d22e0

30392787680 has 96 divisors (see below), whose sum is σ = 76144217184. Its totient is φ = 11424301056.

The previous prime is 30392787647. The next prime is 30392787683. The reversal of 30392787680 is 8678729303.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30392787683) 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, 1822259 + ... + 1838861.

It is an arithmetic number, because the mean of its divisors is an integer number (793168929).

Almost surely, 230392787680 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 30392787680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38072108592).

30392787680 is an abundant number, since it is smaller than the sum of its proper divisors (45751429504).

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

30392787680 is a wasteful number, since it uses less digits than its factorization.

30392787680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17308 (or 17300 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 53.

The spelling of 30392787680 in words is "thirty billion, three hundred ninety-two million, seven hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 673 680 1346 1360 2692 2720 3365 5384 6730 10768 11441 13460 16603 21536 22882 26920 33206 45764 53840 57205 66412 83015 91528 107680 114410 132824 166030 183056 228820 265648 282251 332060 366112 457640 531296 564502 664120 915280 1129004 1328240 1411255 1830560 2258008 2656480 2822510 4516016 5645020 9032032 11173819 11290040 22347638 22580080 44695276 45160160 55869095 89390552 111738190 178781104 189954923 223476380 357562208 379909846 446952760 759819692 893905520 949774615 1519639384 1787811040 1899549230 3039278768 3799098460 6078557536 7598196920 15196393840 30392787680