Search a number
-
+
2948085420 = 2235725932707
BaseRepresentation
bin1010111110111000…
…0011011010101100
321121110100020220220
42233232003122230
522014202213140
61204311411340
7133025212140
oct25756033254
97543306826
102948085420
111283132235
126a3383b50
1337ca08857
141dd771220
15123c3bbd0
hexafb836ac

2948085420 has 96 divisors (see below), whose sum is σ = 9440997888. Its totient is φ = 673339392.

The previous prime is 2948085419. The next prime is 2948085449. The reversal of 2948085420 is 245808492.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1087707 + ... + 1090413.

It is an arithmetic number, because the mean of its divisors is an integer number (98343728).

Almost surely, 22948085420 is an apocalyptic number.

2948085420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2948085420 is an abundant number, since it is smaller than the sum of its proper divisors (6492912468).

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

2948085420 is a wasteful number, since it uses less digits than its factorization.

2948085420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5319 (or 5317 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 2948085420 is about 54296.2744578300. The cubic root of 2948085420 is about 1433.8818064421.

The spelling of 2948085420 in words is "two billion, nine hundred forty-eight million, eighty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 2593 2707 5186 5414 7779 8121 10372 10828 12965 13535 15558 16242 18151 18949 25930 27070 31116 32484 36302 37898 38895 40605 51860 54140 54453 56847 72604 75796 77790 81210 90755 94745 108906 113694 155580 162420 181510 189490 217812 227388 272265 284235 363020 378980 544530 568470 1089060 1136940 7019251 14038502 21057753 28077004 35096255 42115506 49134757 70192510 84231012 98269514 105288765 140385020 147404271 196539028 210577530 245673785 294808542 421155060 491347570 589617084 737021355 982695140 1474042710 2948085420