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98969040 = 243651697
BaseRepresentation
bin1011110011000…
…10010111010000
320220020011000000
411321202113100
5200314002130
613453130000
72311136322
oct571422720
9226204000
1098969040
11509579a5
1229189900
1317672481
14d203612
158a4e260
hex5e625d0

98969040 has 140 divisors (see below), whose sum is σ = 345200004. Its totient is φ = 26376192.

The previous prime is 98969027. The next prime is 98969041. The reversal of 98969040 is 4096989.

It can be written as a sum of positive squares in 2 ways, for example, as 70963776 + 28005264 = 8424^2 + 5292^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98969041) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 57472 + ... + 59168.

Almost surely, 298969040 is an apocalyptic number.

98969040 is a gapful number since it is divisible by the number (90) 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 98969040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172600002).

98969040 is an abundant number, since it is smaller than the sum of its proper divisors (246230964).

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

98969040 is a wasteful number, since it uses less digits than its factorization.

98969040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1707 counting only the distinct ones).

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

The square root of 98969040 is about 9948.3184508740. The cubic root of 98969040 is about 462.5582726674.

The spelling of 98969040 in words is "ninety-eight million, nine hundred sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1697 1944 2160 2430 2916 3240 3394 3645 3888 4860 5091 5832 6480 6788 7290 8485 9720 10182 11664 13576 14580 15273 16970 19440 20364 25455 27152 29160 30546 33940 40728 45819 50910 58320 61092 67880 76365 81456 91638 101820 122184 135760 137457 152730 183276 203640 229095 244368 274914 305460 366552 407280 412371 458190 549828 610920 687285 733104 824742 916380 1099656 1221840 1237113 1374570 1649484 1832760 2061855 2199312 2474226 2749140 3298968 3665520 4123710 4948452 5498280 6185565 6597936 8247420 9896904 10996560 12371130 16494840 19793808 24742260 32989680 49484520 98969040