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121686948 = 22344761131
BaseRepresentation
bin1110100000011…
…00101110100100
322110222100010000
413100030232210
5222122440243
620024101300
73005215305
oct720145644
9273870100
10121686948
1162764229
1234904830
131c297a16
14122387ac
15aa3a5d3
hex740cba4

121686948 has 120 divisors (see below), whose sum is σ = 332728704. Its totient is φ = 38750400.

The previous prime is 121686911. The next prime is 121686949. The reversal of 121686948 is 849686121.

It is not an unprimeable number, because it can be changed into a prime (121686949) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 928843 + ... + 928973.

Almost surely, 2121686948 is an apocalyptic number.

121686948 is a gapful number since it is divisible by the number (18) 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 121686948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166364352).

121686948 is an abundant number, since it is smaller than the sum of its proper divisors (211041756).

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

121686948 is a wasteful number, since it uses less digits than its factorization.

121686948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 121686948 is about 11031.1807164963. The cubic root of 121686948 is about 495.5429854269.

The spelling of 121686948 in words is "one hundred twenty-one million, six hundred eighty-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 61 81 94 108 122 131 141 162 183 188 244 262 282 324 366 393 423 524 549 564 732 786 846 1098 1179 1269 1572 1647 1692 2196 2358 2538 2867 3294 3537 3807 4716 4941 5076 5734 6157 6588 7074 7614 7991 8601 9882 10611 11468 12314 14148 15228 15982 17202 18471 19764 21222 23973 24628 25803 31964 34404 36942 42444 47946 51606 55413 71919 73884 77409 95892 103212 110826 143838 154818 166239 215757 221652 232227 287676 309636 332478 375577 431514 464454 498717 647271 664956 751154 863028 928908 997434 1126731 1294542 1502308 1994868 2253462 2589084 3380193 4506924 6760386 10140579 13520772 20281158 30421737 40562316 60843474 121686948