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100742250 = 2353731619
BaseRepresentation
bin1100000000100…
…11010001101010
321000120020101110
412000103101222
5201242223000
613555131150
72332203120
oct600232152
9230506343
10100742250
1151959164
12298a3ab6
1317b435cb
14d545910
158c9e850
hex601346a

100742250 has 128 divisors (see below), whose sum is σ = 297123840. Its totient is φ = 22248000.

The previous prime is 100742233. The next prime is 100742251. The reversal of 100742250 is 52247001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (100742251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162441 + ... + 163059.

It is an arithmetic number, because the mean of its divisors is an integer number (2321280).

Almost surely, 2100742250 is an apocalyptic number.

100742250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100742250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148561920).

100742250 is an abundant number, since it is smaller than the sum of its proper divisors (196381590).

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

100742250 is a wasteful number, since it uses less digits than its factorization.

100742250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 100742250 is about 10037.0438875199. The cubic root of 100742250 is about 465.3044601086.

Adding to 100742250 its reverse (52247001), we get a palindrome (152989251).

The spelling of 100742250 in words is "one hundred million, seven hundred forty-two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 31 35 42 50 62 70 75 93 105 125 150 155 175 186 210 217 250 310 350 375 434 465 525 619 651 750 775 875 930 1050 1085 1238 1302 1550 1750 1857 2170 2325 2625 3095 3255 3714 3875 4333 4650 5250 5425 6190 6510 7750 8666 9285 10850 11625 12999 15475 16275 18570 19189 21665 23250 25998 27125 30950 32550 38378 43330 46425 54250 57567 64995 77375 81375 92850 95945 108325 115134 129990 134323 154750 162750 191890 216650 232125 268646 287835 324975 402969 464250 479725 541625 575670 649950 671615 805938 959450 1083250 1343230 1439175 1624875 2014845 2398625 2878350 3249750 3358075 4029690 4797250 6716150 7195875 10074225 14391750 16790375 20148450 33580750 50371125 100742250