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103089024 = 273461163
BaseRepresentation
bin1100010010100…
…00001110000000
321011222110120000
412021100032000
5202342322044
614121320000
72361146043
oct611201600
9234873500
10103089024
1153211345
122a636000
131848582c
14d996c5a
1590b4d69
hex6250380

103089024 has 160 divisors (see below), whose sum is σ = 313733640. Its totient is φ = 33592320.

The previous prime is 103089023. The next prime is 103089031. The reversal of 103089024 is 420980301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103089023) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 632367 + ... + 632529.

Almost surely, 2103089024 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 103089024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156866820).

103089024 is an abundant number, since it is smaller than the sum of its proper divisors (210644616).

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

103089024 is an equidigital number, since it uses as much as digits as its factorization.

103089024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 103089024 is about 10153.2765154900. The cubic root of 103089024 is about 468.8898258065.

The spelling of 103089024 in words is "one hundred three million, eighty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 81 96 108 122 128 144 162 163 183 192 216 244 288 324 326 366 384 432 488 489 549 576 648 652 732 864 976 978 1098 1152 1296 1304 1464 1467 1647 1728 1952 1956 2196 2592 2608 2928 2934 3294 3456 3904 3912 4392 4401 4941 5184 5216 5856 5868 6588 7808 7824 8784 8802 9882 9943 10368 10432 11712 11736 13176 13203 15648 17568 17604 19764 19886 20864 23424 23472 26352 26406 29829 31296 35136 35208 39528 39772 46944 52704 52812 59658 62592 70272 70416 79056 79544 89487 93888 105408 105624 119316 140832 158112 159088 178974 187776 210816 211248 238632 268461 281664 316224 318176 357948 422496 477264 536922 563328 632448 636352 715896 805383 844992 954528 1073844 1272704 1431792 1610766 1689984 1909056 2147688 2863584 3221532 3818112 4295376 5727168 6443064 8590752 11454336 12886128 17181504 25772256 34363008 51544512 103089024