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141694272 = 26363037
BaseRepresentation
bin10000111001000…
…01010101000000
3100212121211000000
420130201111000
5242233204042
622021000000
73340244556
oct1034412500
9325554000
10141694272
1172a8a005
123b553000
1323481585
1414b65bd6
15c68d74c
hex8721540

141694272 has 98 divisors (see below), whose sum is σ = 421707818. Its totient is φ = 47215872.

The previous prime is 141694271. The next prime is 141694279. The reversal of 141694272 is 272496141.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 136048896 + 5645376 = 11664^2 + 2376^2 .

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 (141694271) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 45138 + ... + 48174.

It is an arithmetic number, because the mean of its divisors is an integer number (4303141).

Almost surely, 2141694272 is an apocalyptic number.

141694272 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 141694272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210853909).

141694272 is an abundant number, since it is smaller than the sum of its proper divisors (280013546).

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

141694272 is an frugal number, since it uses more digits than its factorization.

141694272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067 (or 3042 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 141694272 is about 11903.5403137050. The cubic root of 141694272 is about 521.3356590244.

The spelling of 141694272 in words is "one hundred forty-one million, six hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3037 3888 5184 5832 6074 7776 9111 11664 12148 15552 18222 23328 24296 27333 36444 46656 48592 54666 72888 81999 97184 109332 145776 163998 194368 218664 245997 291552 327996 437328 491994 583104 655992 737991 874656 983988 1311984 1475982 1749312 1967976 2213973 2623968 2951964 3935952 4427946 5247936 5903928 7871904 8855892 11807856 15743808 17711784 23615712 35423568 47231424 70847136 141694272