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102997680 = 24352347397
BaseRepresentation
bin1100010001110…
…01111010110000
321011210211020220
412020321322300
5202331411210
614115333040
72360315532
oct610717260
9234724226
10102997680
1153159755
122a5b1180
1318453096
14d971852
159097c70
hex6239eb0

102997680 has 160 divisors (see below), whose sum is σ = 341121024. Its totient is φ = 25648128.

The previous prime is 102997673. The next prime is 102997691. The reversal of 102997680 is 86799201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259242 + ... + 259638.

Almost surely, 2102997680 is an apocalyptic number.

102997680 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 102997680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170560512).

102997680 is an abundant number, since it is smaller than the sum of its proper divisors (238123344).

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

102997680 is a wasteful number, since it uses less digits than its factorization.

102997680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 102997680 is about 10148.7772662523. Note that the first 3 decimals coincide. The cubic root of 102997680 is about 468.7512952853.

The spelling of 102997680 in words is "one hundred two million, nine hundred ninety-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 47 48 60 69 80 92 94 115 120 138 141 184 188 230 235 240 276 282 345 368 376 397 460 470 552 564 690 705 752 794 920 940 1081 1104 1128 1191 1380 1410 1588 1840 1880 1985 2162 2256 2382 2760 2820 3176 3243 3760 3970 4324 4764 5405 5520 5640 5955 6352 6486 7940 8648 9131 9528 10810 11280 11910 12972 15880 16215 17296 18262 18659 19056 21620 23820 25944 27393 31760 32430 36524 37318 43240 45655 47640 51888 54786 55977 64860 73048 74636 86480 91310 93295 95280 109572 111954 129720 136965 146096 149272 182620 186590 219144 223908 259440 273930 279885 298544 365240 373180 429157 438288 447816 547860 559770 730480 746360 858314 895632 1095720 1119540 1287471 1492720 1716628 2145785 2191440 2239080 2574942 3433256 4291570 4478160 5149884 6437355 6866512 8583140 10299768 12874710 17166280 20599536 25749420 34332560 51498840 102997680