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102447720 = 23335293271
BaseRepresentation
bin1100001101100…
…11101001101000
321010202212212000
412012303221220
5202211311340
614055451000
72352535254
oct606635150
9233685760
10102447720
1152913541
122a386a60
13182bc96b
14d86b264
158ed9d30
hex61b3a68

102447720 has 128 divisors (see below), whose sum is σ = 353376000. Its totient is φ = 26369280.

The previous prime is 102447713. The next prime is 102447739. The reversal of 102447720 is 27744201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 29685 + ... + 32955.

It is an arithmetic number, because the mean of its divisors is an integer number (2760750).

Almost surely, 2102447720 is an apocalyptic number.

102447720 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 102447720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176688000).

102447720 is an abundant number, since it is smaller than the sum of its proper divisors (250928280).

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

102447720 is a wasteful number, since it uses less digits than its factorization.

102447720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3320 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 102447720 is about 10121.6461111817. The cubic root of 102447720 is about 467.9155008521.

The spelling of 102447720 in words is "one hundred two million, four hundred forty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 87 90 108 116 120 135 145 174 180 216 232 261 270 290 348 360 435 522 540 580 696 783 870 1044 1080 1160 1305 1566 1740 2088 2610 3132 3271 3480 3915 5220 6264 6542 7830 9813 10440 13084 15660 16355 19626 26168 29439 31320 32710 39252 49065 58878 65420 78504 88317 94859 98130 117756 130840 147195 176634 189718 196260 235512 284577 294390 353268 379436 392520 441585 474295 569154 588780 706536 758872 853731 883170 948590 1138308 1177560 1422885 1707462 1766340 1897180 2276616 2561193 2845770 3414924 3532680 3794360 4268655 5122386 5691540 6829848 8537310 10244772 11383080 12805965 17074620 20489544 25611930 34149240 51223860 102447720