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29698920 = 23335107257
BaseRepresentation
bin111000101001…
…0101101101000
32001212212021000
41301102231220
530100331140
62540315000
7510302526
oct161225550
961785230
1029698920
1115845269
129b42a60
1361cac34
143d31316
152919a30
hex1c52b68

29698920 has 128 divisors (see below), whose sum is σ = 100310400. Its totient is φ = 7815168.

The previous prime is 29698913. The next prime is 29698927. The reversal of 29698920 is 2989692.

It is an interprime number because it is at equal distance from previous prime (29698913) and next prime (29698927).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (29698927) 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, 115432 + ... + 115688.

It is an arithmetic number, because the mean of its divisors is an integer number (783675).

Almost surely, 229698920 is an apocalyptic number.

29698920 is a gapful number since it is divisible by the number (20) 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 29698920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50155200).

29698920 is an abundant number, since it is smaller than the sum of its proper divisors (70611480).

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

29698920 is a wasteful number, since it uses less digits than its factorization.

29698920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 29698920 is about 5449.6715497358. The cubic root of 29698920 is about 309.6802808455.

The spelling of 29698920 in words is "twenty-nine million, six hundred ninety-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 107 108 120 135 180 214 216 257 270 321 360 428 514 535 540 642 771 856 963 1028 1070 1080 1284 1285 1542 1605 1926 2056 2140 2313 2568 2570 2889 3084 3210 3852 3855 4280 4626 4815 5140 5778 6168 6420 6939 7704 7710 9252 9630 10280 11556 11565 12840 13878 14445 15420 18504 19260 23112 23130 27499 27756 28890 30840 34695 38520 46260 54998 55512 57780 69390 82497 92520 109996 115560 137495 138780 164994 219992 247491 274990 277560 329988 412485 494982 549980 659976 742473 824970 989964 1099960 1237455 1484946 1649940 1979928 2474910 2969892 3299880 3712365 4949820 5939784 7424730 9899640 14849460 29698920