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100994472 = 23332329701
BaseRepresentation
bin1100000010100…
…00110110101000
321001001001101000
412001100312220
5201323310342
614004355000
72334303345
oct601206650
9231031330
10100994472
1152010707
12299a5a60
1317c01357
14d5ad7cc
158cee44c
hex6050da8

100994472 has 128 divisors (see below), whose sum is σ = 303264000. Its totient is φ = 31046400.

The previous prime is 100994437. The next prime is 100994473. The reversal of 100994472 is 274499001.

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

It is not an unprimeable number, because it can be changed into a prime (100994473) 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, 143722 + ... + 144422.

It is an arithmetic number, because the mean of its divisors is an integer number (2369250).

Almost surely, 2100994472 is an apocalyptic number.

100994472 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 100994472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151632000).

100994472 is an abundant number, since it is smaller than the sum of its proper divisors (202269528).

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

100994472 is a wasteful number, since it uses less digits than its factorization.

100994472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 100994472 is about 10049.6005890782. The cubic root of 100994472 is about 465.6924542727.

It can be divided in two parts, 1009 and 94472, that added together give a square (95481 = 3092).

The spelling of 100994472 in words is "one hundred million, nine hundred ninety-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 29 36 46 54 58 69 72 87 92 108 116 138 174 184 207 216 232 261 276 348 414 522 552 621 667 696 701 783 828 1044 1242 1334 1402 1566 1656 2001 2088 2103 2484 2668 2804 3132 4002 4206 4968 5336 5608 6003 6264 6309 8004 8412 12006 12618 16008 16123 16824 18009 18927 20329 24012 25236 32246 36018 37854 40658 48024 48369 50472 60987 64492 72036 75708 81316 96738 121974 128984 144072 145107 151416 162632 182961 193476 243948 290214 365922 386952 435321 467567 487896 548883 580428 731844 870642 935134 1097766 1160856 1402701 1463688 1741284 1870268 2195532 2805402 3482568 3740536 4208103 4391064 5610804 8416206 11221608 12624309 16832412 25248618 33664824 50497236 100994472