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161142000 = 24353107251
BaseRepresentation
bin10011001101011…
…01010011110000
3102020012212021020
421212231103300
5312223021000
623553455440
73664453515
oct1146552360
9366185236
10161142000
1182a62408
1245b71580
13275004c6
141758930c
15e230ba0
hex99ad4f0

161142000 has 160 divisors (see below), whose sum is σ = 526466304. Its totient is φ = 42400000.

The previous prime is 161141977. The next prime is 161142011. The reversal of 161142000 is 241161.

161142000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641875 + ... + 642125.

Almost surely, 2161142000 is an apocalyptic number.

161142000 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 161142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263233152).

161142000 is an abundant number, since it is smaller than the sum of its proper divisors (365324304).

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

161142000 is a wasteful number, since it uses less digits than its factorization.

161142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 161142000 is about 12694.1718910688. The cubic root of 161142000 is about 544.1720728726.

Adding to 161142000 its reverse (241161), we get a palindrome (161383161).

The spelling of 161142000 in words is "one hundred sixty-one million, one hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 107 120 125 150 200 214 240 250 251 300 321 375 400 428 500 502 535 600 642 750 753 856 1000 1004 1070 1200 1255 1284 1500 1506 1605 1712 2000 2008 2140 2510 2568 2675 3000 3012 3210 3765 4016 4280 5020 5136 5350 6000 6024 6275 6420 7530 8025 8560 10040 10700 12048 12550 12840 13375 15060 16050 18825 20080 21400 25100 25680 26750 26857 30120 31375 32100 37650 40125 42800 50200 53500 53714 60240 62750 64200 75300 80250 80571 94125 100400 107000 107428 125500 128400 134285 150600 160500 161142 188250 214000 214856 251000 268570 301200 321000 322284 376500 402855 429712 502000 537140 642000 644568 671425 753000 805710 1074280 1289136 1342850 1506000 1611420 2014275 2148560 2685700 3222840 3357125 4028550 5371400 6445680 6714250 8057100 10071375 10742800 13428500 16114200 20142750 26857000 32228400 40285500 53714000 80571000 161142000