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139980600 = 233252194093
BaseRepresentation
bin10000101011111…
…10111100111000
3100202101202021200
420111332330320
5241313334400
621520134200
73316546464
oct1025767470
9322352250
10139980600
1172019551
123aa67360
1323001576
141483b4a4
15c450b00
hex857ef38

139980600 has 144 divisors (see below), whose sum is σ = 494964600. Its totient is φ = 35354880.

The previous prime is 139980571. The next prime is 139980629. The reversal of 139980600 is 6089931.

It is an interprime number because it is at equal distance from previous prime (139980571) and next prime (139980629).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32154 + ... + 36246.

Almost surely, 2139980600 is an apocalyptic number.

139980600 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 139980600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247482300).

139980600 is an abundant number, since it is smaller than the sum of its proper divisors (354984000).

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

139980600 is a wasteful number, since it uses less digits than its factorization.

139980600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4134 (or 4122 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 139980600 is about 11831.3397381700. The cubic root of 139980600 is about 519.2254246997.

The spelling of 139980600 in words is "one hundred thirty-nine million, nine hundred eighty thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 25 30 36 38 40 45 50 57 60 72 75 76 90 95 100 114 120 150 152 171 180 190 200 225 228 285 300 342 360 380 450 456 475 570 600 684 760 855 900 950 1140 1368 1425 1710 1800 1900 2280 2850 3420 3800 4093 4275 5700 6840 8186 8550 11400 12279 16372 17100 20465 24558 32744 34200 36837 40930 49116 61395 73674 77767 81860 98232 102325 122790 147348 155534 163720 184185 204650 233301 245580 294696 306975 311068 368370 388835 409300 466602 491160 613950 622136 699903 736740 777670 818600 920925 933204 1166505 1227900 1399806 1473480 1555340 1841850 1866408 1944175 2333010 2455800 2799612 3110680 3499515 3683700 3888350 4666020 5599224 5832525 6999030 7367400 7776700 9332040 11665050 13998060 15553400 17497575 23330100 27996120 34995150 46660200 69990300 139980600