Search a number
-
+
121907000 = 23531771101
BaseRepresentation
bin1110100010000…
…10011100111000
322111101111222002
413101002130320
5222202011000
620032520132
73010122665
oct721023470
9274344862
10121907000
11628a4596
12349b0048
131c343c27
1412294a6c
15aa808d5
hex7442738

121907000 has 128 divisors (see below), whose sum is σ = 309329280. Its totient is φ = 44800000.

The previous prime is 121906991. The next prime is 121907003. The reversal of 121907000 is 709121.

It is a super-2 number, since 2×1219070002 = 29722633298000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121907003) 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, 1206950 + ... + 1207050.

It is an arithmetic number, because the mean of its divisors is an integer number (2416635).

Almost surely, 2121907000 is an apocalyptic number.

121907000 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 121907000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154664640).

121907000 is an abundant number, since it is smaller than the sum of its proper divisors (187422280).

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

121907000 is a wasteful number, since it uses less digits than its factorization.

121907000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 121907000 is about 11041.1503023915. The cubic root of 121907000 is about 495.8415098025.

The spelling of 121907000 in words is "one hundred twenty-one million, nine hundred seven thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 71 85 100 101 125 136 142 170 200 202 250 284 340 355 404 425 500 505 568 680 710 808 850 1000 1010 1207 1420 1700 1717 1775 2020 2125 2414 2525 2840 3400 3434 3550 4040 4250 4828 5050 6035 6868 7100 7171 8500 8585 8875 9656 10100 12070 12625 13736 14200 14342 17000 17170 17750 20200 24140 25250 28684 30175 34340 35500 35855 42925 48280 50500 57368 60350 68680 71000 71710 85850 101000 120700 121907 143420 150875 171700 179275 214625 241400 243814 286840 301750 343400 358550 429250 487628 603500 609535 717100 858500 896375 975256 1207000 1219070 1434200 1717000 1792750 2438140 3047675 3585500 4876280 6095350 7171000 12190700 15238375 24381400 30476750 60953500 121907000