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242720640 = 2732542139
BaseRepresentation
bin11100111011110…
…01111110000000
3121220201111010100
432131321332000
5444114030030
640030202400
76005043231
oct1635717600
9556644110
10242720640
11115011678
1269353400
133b3942a6
1424343088
1516497360
hexe779f80

242720640 has 96 divisors (see below), whose sum is σ = 838164600. Its totient is φ = 64723968.

The previous prime is 242720617. The next prime is 242720651. The reversal of 242720640 is 46027242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15310 + ... + 26829.

Almost surely, 2242720640 is an apocalyptic number.

242720640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242720640 is an abundant number, since it is smaller than the sum of its proper divisors (595443960).

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

242720640 is a wasteful number, since it uses less digits than its factorization.

242720640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42164 (or 42149 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 242720640 is about 15579.4942151535. The cubic root of 242720640 is about 623.7859226195.

Adding to 242720640 its reverse (46027242), we get a palindrome (288747882).

The spelling of 242720640 in words is "two hundred forty-two million, seven hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 42139 84278 126417 168556 210695 252834 337112 379251 421390 505668 632085 674224 758502 842780 1011336 1264170 1348448 1517004 1685560 1896255 2022672 2528340 2696896 3034008 3371120 3792510 4045344 5056680 5393792 6068016 6742240 7585020 8090688 10113360 12136032 13484480 15170040 16181376 20226720 24272064 26968960 30340080 40453440 48544128 60680160 80906880 121360320 242720640