Search a number
-
+
140037296 = 2473171979
BaseRepresentation
bin10000101100011…
…00110010110000
3100202111122001112
420112030302300
5241322143141
621521252452
73320204000
oct1026146260
9322448045
10140037296
1172058103
123aa94128
1323021309
1414854000
15c4627eb
hex858ccb0

140037296 has 160 divisors (see below), whose sum is σ = 357120000. Its totient is φ = 52835328.

The previous prime is 140037269. The next prime is 140037301. The reversal of 140037296 is 692730041.

It is a super-2 number, since 2×1400372962 = 39220888541983232, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1772585 + ... + 1772663.

It is an arithmetic number, because the mean of its divisors is an integer number (2232000).

Almost surely, 2140037296 is an apocalyptic number.

140037296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140037296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560000).

140037296 is an abundant number, since it is smaller than the sum of its proper divisors (217082704).

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

140037296 is a wasteful number, since it uses less digits than its factorization.

140037296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 140037296 is about 11833.7355049029. The cubic root of 140037296 is about 519.2955154388.

The spelling of 140037296 in words is "one hundred forty million, thirty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 19 28 34 38 49 56 68 76 79 98 112 119 133 136 152 158 196 238 266 272 304 316 323 343 392 476 532 553 632 646 686 784 833 931 952 1064 1106 1264 1292 1343 1372 1501 1666 1862 1904 2128 2212 2261 2584 2686 2744 3002 3332 3724 3871 4424 4522 5168 5372 5488 5831 6004 6517 6664 7448 7742 8848 9044 9401 10507 10744 11662 12008 13034 13328 14896 15484 15827 18088 18802 21014 21488 23324 24016 25517 26068 27097 30968 31654 36176 37604 42028 46648 51034 52136 54194 61936 63308 65807 73549 75208 84056 93296 102068 104272 108388 110789 126616 131614 147098 150416 168112 178619 204136 216776 221578 253232 263228 294196 357238 408272 433552 443156 460649 514843 526456 588392 714476 886312 921298 1029686 1052912 1176784 1250333 1428952 1772624 1842596 2059372 2500666 2857904 3685192 4118744 5001332 7370384 8237488 8752331 10002664 17504662 20005328 35009324 70018648 140037296