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121839552 = 2634191237
BaseRepresentation
bin1110100001100…
…01111111000000
322111021002110000
413100301333000
5222142331202
620031240000
73006422232
oct720617700
9274232400
10121839552
116285894a
1234979000
131c31c313
1412278252
15aa6a91c
hex7431fc0

121839552 has 140 divisors (see below), whose sum is σ = 380486920. Its totient is φ = 38444544.

The previous prime is 121839551. The next prime is 121839569. The reversal of 121839552 is 255938121.

121839552 is a `hidden beast` number, since 1 + 21 + 83 + 9 + 552 = 666.

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 (121839551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 97878 + ... + 99114.

Almost surely, 2121839552 is an apocalyptic number.

121839552 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 121839552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190243460).

121839552 is an abundant number, since it is smaller than the sum of its proper divisors (258647368).

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

121839552 is a wasteful number, since it uses less digits than its factorization.

121839552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1261 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 121839552 is about 11038.0954879001. The cubic root of 121839552 is about 495.7500474914.

The spelling of 121839552 in words is "one hundred twenty-one million, eight hundred thirty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 288 304 324 342 432 456 513 576 608 648 684 864 912 1026 1216 1237 1296 1368 1539 1728 1824 2052 2474 2592 2736 3078 3648 3711 4104 4948 5184 5472 6156 7422 8208 9896 10944 11133 12312 14844 16416 19792 22266 23503 24624 29688 32832 33399 39584 44532 47006 49248 59376 66798 70509 79168 89064 94012 98496 100197 118752 133596 141018 178128 188024 200394 211527 237504 267192 282036 356256 376048 400788 423054 534384 564072 634581 712512 752096 801576 846108 1068768 1128144 1269162 1504192 1603152 1692216 1903743 2137536 2256288 2538324 3206304 3384432 3807486 4512576 5076648 6412608 6768864 7614972 10153296 13537728 15229944 20306592 30459888 40613184 60919776 121839552