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140479248 = 243713291109
BaseRepresentation
bin10000101111110…
…00101100010000
3100210100002022010
420113320230100
5241430313443
621534542520
73324024330
oct1027705420
9323302263
10140479248
117232a158
123b067a40
1323147520
141492b0c0
15c4ed733
hex85f8b10

140479248 has 160 divisors (see below), whose sum is σ = 462470400. Its totient is φ = 35739648.

The previous prime is 140479247. The next prime is 140479249. The reversal of 140479248 is 842974041.

It is an interprime number because it is at equal distance from previous prime (140479247) and next prime (140479249).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (140479247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126118 + ... + 127226.

It is an arithmetic number, because the mean of its divisors is an integer number (2890440).

Almost surely, 2140479248 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 140479248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231235200).

140479248 is an abundant number, since it is smaller than the sum of its proper divisors (321991152).

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

140479248 is a wasteful number, since it uses less digits than its factorization.

140479248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 140479248 is about 11852.3941885174. The cubic root of 140479248 is about 519.8412335816.

The spelling of 140479248 in words is "one hundred forty million, four hundred seventy-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 29 39 42 48 52 56 58 78 84 87 91 104 112 116 156 168 174 182 203 208 232 273 312 336 348 364 377 406 464 546 609 624 696 728 754 812 1092 1109 1131 1218 1392 1456 1508 1624 2184 2218 2262 2436 2639 3016 3248 3327 4368 4436 4524 4872 5278 6032 6654 7763 7917 8872 9048 9744 10556 13308 14417 15526 15834 17744 18096 21112 23289 26616 28834 31052 31668 32161 42224 43251 46578 53232 57668 62104 63336 64322 86502 93156 96483 100919 115336 124208 126672 128644 173004 186312 192966 201838 225127 230672 257288 302757 346008 372624 385932 403676 418093 450254 514576 605514 675381 692016 771864 807352 836186 900508 1211028 1254279 1350762 1543728 1614704 1672372 1801016 2422056 2508558 2701524 2926651 3344744 3602032 4844112 5017116 5403048 5853302 6689488 8779953 10034232 10806096 11706604 17559906 20068464 23413208 35119812 46826416 70239624 140479248