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161461872 = 243211137841
BaseRepresentation
bin10011001111110…
…11011001110000
3102020211010001100
421213323121300
5312313234442
624004404400
74000255215
oct1147733160
9366733040
10161461872
1183160770
12460a6700
13275b2c90
141762db0c
15e29584c
hex99fb670

161461872 has 120 divisors (see below), whose sum is σ = 530934768. Its totient is φ = 45158400.

The previous prime is 161461871. The next prime is 161461889. The reversal of 161461872 is 278164161.

It is a happy number.

It is a super-2 number, since 2×1614618722 = 52139872219488768, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161461871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16672 + ... + 24512.

Almost surely, 2161461872 is an apocalyptic number.

161461872 is a gapful number since it is divisible by the number (12) 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 161461872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265467384).

161461872 is an abundant number, since it is smaller than the sum of its proper divisors (369472896).

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

161461872 is a wasteful number, since it uses less digits than its factorization.

161461872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7879 (or 7870 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 161461872 is about 12706.7648124926. The cubic root of 161461872 is about 544.5319011835.

The spelling of 161461872 in words is "one hundred sixty-one million, four hundred sixty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 7841 10296 15682 20592 23523 31364 47046 62728 70569 86251 94092 101933 125456 141138 172502 188184 203866 258753 282276 305799 345004 376368 407732 517506 564552 611598 690008 776259 815464 917397 1035012 1121263 1129104 1223196 1380016 1552518 1630928 1834794 2070024 2242526 2446392 3105036 3363789 3669588 4140048 4485052 4892784 6210072 6727578 7339176 8970104 10091367 12420144 13455156 14678352 17940208 20182734 26910312 40365468 53820624 80730936 161461872