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96503040 = 283258377
BaseRepresentation
bin1011100000010…
…00010100000000
320201120212021200
411300020110000
5144201044130
613324221200
72251155654
oct560102400
9221525250
1096503040
114a523187
122839a800
1316cbabba
14cb60a64
158713760
hex5c08500

96503040 has 108 divisors (see below), whose sum is σ = 333930324. Its totient is φ = 25731072.

The previous prime is 96502961. The next prime is 96503047. The reversal of 96503040 is 4030569.

It is a happy number.

96503040 is a `hidden beast` number, since 9 + 650 + 3 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23503104 + 72999936 = 4848^2 + 8544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 96502995 and 96503013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96503047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7332 + ... + 15708.

Almost surely, 296503040 is an apocalyptic number.

96503040 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 96503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166965162).

96503040 is an abundant number, since it is smaller than the sum of its proper divisors (237427284).

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

96503040 is a wasteful number, since it uses less digits than its factorization.

96503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8404 (or 8387 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 96503040 is about 9823.5960829016. The cubic root of 96503040 is about 458.6840778199.

The spelling of 96503040 in words is "ninety-six million, five hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 8377 11520 16754 25131 33508 41885 50262 67016 75393 83770 100524 125655 134032 150786 167540 201048 251310 268064 301572 335080 376965 402096 502620 536128 603144 670160 753930 804192 1005240 1072256 1206288 1340320 1507860 1608384 2010480 2144512 2412576 2680640 3015720 3216768 4020960 4825152 5361280 6031440 6433536 8041920 9650304 10722560 12062880 16083840 19300608 24125760 32167680 48251520 96503040