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10255237380 = 223254710711329
BaseRepresentation
bin10011000110100001…
…01000000100000100
3222110201001000222200
421203100220010010
5132000320044010
64413341154500
7512064036153
oct114320500404
928421030880
1010255237380
1143928a56a3
121ba255ba30
13c758449cb
146d400359a
154004c8cc0
hex263428104

10255237380 has 144 divisors (see below), whose sum is σ = 32069157120. Its totient is φ = 2651295744.

The previous prime is 10255237357. The next prime is 10255237411. The reversal of 10255237380 is 8373255201.

It is a happy number.

10255237380 is a `hidden beast` number, since 1 + 0 + 255 + 23 + 7 + 380 = 666.

It is a super-4 number, since 4×102552373804 (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 899556 + ... + 910884.

It is an arithmetic number, because the mean of its divisors is an integer number (222702480).

Almost surely, 210255237380 is an apocalyptic number.

10255237380 is a gapful number since it is divisible by the number (10) 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 10255237380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16034578560).

10255237380 is an abundant number, since it is smaller than the sum of its proper divisors (21813919740).

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

10255237380 is a wasteful number, since it uses less digits than its factorization.

10255237380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11498 (or 11493 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 10255237380 in words is "ten billion, two hundred fifty-five million, two hundred thirty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 107 141 180 188 214 235 282 321 423 428 470 535 564 642 705 846 940 963 1070 1284 1410 1605 1692 1926 2115 2140 2820 3210 3852 4230 4815 5029 6420 8460 9630 10058 11329 15087 19260 20116 22658 25145 30174 33987 45261 45316 50290 56645 60348 67974 75435 90522 100580 101961 113290 135948 150870 169935 181044 203922 226305 226580 301740 339870 407844 452610 509805 532463 679740 905220 1019610 1064926 1212203 1597389 2039220 2129852 2424406 2662315 3194778 3636609 4792167 4848812 5324630 6061015 6389556 7273218 7986945 9584334 10649260 10909827 12122030 14546436 15973890 18183045 19168668 21819654 23960835 24244060 31947780 36366090 43639308 47921670 54549135 56973541 72732180 95843340 109098270 113947082 170920623 218196540 227894164 284867705 341841246 512761869 569735410 683682492 854603115 1025523738 1139470820 1709206230 2051047476 2563809345 3418412460 5127618690 10255237380